Answers
8x^3 − 125y^3/(2x + 5y)3 ÷ 4x^2 + 10xy + 25y^2/4x^2 + 20xy + 25y^2
To divide by a fraction, multiply by its reciprocal.
8x^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Simplify the numerator.
Rewrite 8x^3 as (2x)^3.
(2x)^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite 125y^3 as (5y)^3.
(2x)^3 − (5y)^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Since both terms are perfect cubes, factor using the difference of cubes formula,
a^3 − b^3 = (a − b) (a^2 + ab + b^2) where a = 2x and b = 5y.
(2x − (5y)) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Multiply 5 by −1.
(2x − 5y) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Apply the product rule to 2x.
(2x − 5y) (22x^2 + 2x (5y) + (5y)^2)/(2x + 5y)3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y2
Raise 2 to the power of 2.
(2x − 5y) (4x^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite using the commutative property of multiplication.
(2x − 5y) (4x^2 + 2 ⋅ 5xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Multiply 2 by 5.
(2x − 5y) (4x^2 + 10xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Apply the product rule to 5y.
(2x − 5y) (4x^2 + 10xy + 52y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Raise 5 to the power of 2.
(2x − 5y) (4x^2 + 10xy + 25y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Cancel the common factor of 4x^2 + 10xy + 25y^2.
((2x − 5y)/(2x + 5y)^3) (4x^2 + 20xy + 25y^2)
Multiply
(2x − 5y) (4x^2 + 20xy + 25y^2)/ (2x + 5y)^3
Factor using the perfect square rule.
Rewrite 4x^2 as (2x)^2.
(2x − 5y) ((2x)^2 + 20xy + 25y^2)/ (2x + 5y)^3
Rewrite 25y^2 as (5y)^2.
(2x − 5y) ((2x)^2 + 20xy + (5y)^2)/ (2x + 5y)^3
Check that the middle term is two times the product of the numbers being squared in the first
term and third term.
20xy = 2 ⋅ (2x) ⋅ (5y)
Rewrite the polynomial.
(2x − 5y) ((2x)2 + 2 ⋅ (2x) ⋅ (5y) + (5y)2)/(2x + 5y)^3
Factor using the perfect square trinomial rule a^2 + 2ab + b^2 = (a + b)^2, where a = 2x and b = 5y.
(2x − 5y) (2x + 5y)^2/ (2x + 5y)^3
Cancel the common factor of (2x + 5y)^2 and (2x + 5y)^3.
Factor (2x + 5y)^2 out of (2x − 5y) (2x + 5y)^2.
(2x + 5y)^2 (2x − 5y) / (2x + 5y)^3
Cancel the common factors.
2x − 5y / 2x + 5y
Answer:
This may be wrong but: (2x - 5y) ((2x)^2 + 10xy + (5y)^2) over (2x + 5y) (4x^2 + 10xy + 25y^2)
Step-by-step explanation:
Related Questions
Help Please ! =(
Find the measures of the interior angles of the triangle.
Answers
So, 86-35 which is 51.
A= 86 and C=51
WILL GIVE BRAINLIEST
In the two-step equation below, what is the second step you would take to solve this equation?
3/4f+5=-5
a. Multiply both sides by 4/3
b. Add five to both sides.
c. Multiply by sides by 3/4
d. Subtract 5 from both sides.
Answers
Answer:
a. Multiply both sides by 4/3
Step-by-step explanation:
Since you're dealing with a fraction, multiplying both sides by the reciprocal, which is the fraction flipped, it could cancel out the fraction so now x is alone on one side.
Hope this helped! :)))
Lorelei knows that the mass of one dime is about 2.3 grams. She needs to find the mass of 4 dimes. Which equation shows how to use the Distributive Property to solve?
Answers
Answer:
Step-by-step explanation:
(4 × 2) + (4 × 0.3) = 9.2 grams
Help plz i hate this but everytime I do this I get it worng
Answers
Answer:
The answer is 19.25
Step-by-step explanation:
Key skills needed: Fraction operations, decimal conversion
1) We are given the hint to use 9 as "b", and we get:
---> [tex]a = \frac{16}{8}(9) + \frac{10}{8}[/tex]
Let's do [tex]\frac{16}{8}(9)[/tex]
--> [tex]\frac{16}{8}[/tex] is the same as [tex]16[/tex] ÷ [tex]8[/tex]
16 divide by 8 is 2.
2) This means that it would be ---> [tex]2(9)[/tex] which is simply 2 times 9.
2 times 9 = 9 + 9 = 18
3) With that result, it would be ---> [tex]a = 18 + \frac{10}{8}[/tex]
Now, do [tex]\frac{10}{8}[/tex] (10 divided by 8) ---> Get 1.25
4) 18 + 1.25 = 19.25, so --> [tex]a = 19.25[/tex] is the answer
Hope you understood and have a nice day!! :D
What is 352 beats in 4 2/5 minutes please help and tell me step by step please
Answers
Answer:
352/4.4 =80
Got it?
Please give me Brainly
Please help me find x
Answers
Answer:
x=13
Step-by-step explanation:
According to the question
3x+5x-14=90
8x-14=90
8x=90+14
8x=104
x=104/8
x=13
180 - 90 + 14 = 3x + 5x
104 = 8x
104/8 = x
x = 13
Checking:
3(13) + 90 + 5(13) - 14 = 180
180 = 180
So x=13
what's the answer to question c in the graph below
Answers
Answer:
3
Step-by-step explanation:
3is tha answer of pair of shoes..
am i rght
Answer:
3
Step-by-step explanation:
3 is right answer because it is largest pair of number
This CD case is a rectangle that is 5.5” tall by 5.75” wide. What is the area of the CD case?
Answers
31.625
Step-by-step explanation:
Multiply height by width so
5.5(5.75) = 31.625
The area of the CD case will be [tex]31.625[/tex] squared inch .
What is area ?
Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Area [tex]= Length * Breadth[/tex]
We have,
A rectangle.
Length of rectangle [tex]=5.5"[/tex]
Breadth of rectangle [tex]=5.75"[/tex]
So,
The area of rectangle [tex]= Length * Breadth[/tex]
[tex]=5.5*5.75[/tex]
[tex]= 31.625[/tex] squared inch
So, the area of CD case is [tex]31.625[/tex] squared inch.
Hence, we can say that the area of the CD case will be [tex]31.625[/tex] squared inch .
To know more about area click here
https://brainly.com/question/20693059
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A wholesale distributor of packaged nuts sells two different mixes of peanuts and cashews, mix A and mix B. Each package of mix A nuts
contains 8 ounces (oz.) of peanuts and 4 oz. of cashews. Each package of mix B nuts contains 6 oz. of peanuts and 6 oz. of cashews. Let x
represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts. No more than 120 oz. of peanuts
and no more than 96 oz. of cashews can be used each day. Which graph represents the numbers of packages of mix A and mix B that can be
produced?
Answers
Answer:
Cause it is
Step-by-step explanation:
Please Help Me
Find the premiter of the semi circle l. Round to the nearest hundredth ( use Pi key)
Answers
Answer:
circumference of a circle = πd
π12 = 37.6991118
37.6991118/2 = 18.8495559
18.8495559 + 12 = 30.8495559
perimeter = 30.85
Plz help me get the right answer
Answers
Answer:
answerrrrrrrr
Step-by-step explanation:
-4x^2+10x+4
Select all that apply. If there are 8 chocolate chip cookies out of 20 total cookies in a jar, what is the probability that you will randomly choose a chocolate chip cookie?
A. 2/5
B. 0.4
C. 0.8
D. 40%
Answers
Answer:
B) 0.4, D) 40% and A) 2/5
Step-by-step explanation:
Part/Whole=%/100
8/20=0.4*100=40%=2/5=0.4
The probability that you will randomly choose a chocolate chip cookie is 2 by 5 and 0.4, and 40%.
Given that,
There are 8 chocolate chip cookies out of 20 total cookies in a jar.Based on the above information, the calculation is as follows:
[tex]= 8\div 20\\\\= 2\div 5\\\\= 0.40\\= 40\%[/tex]
Learn more: brainly.com/question/16911495
Which postulate make the triangle congruent.?? help please
Answers
where do you find the answers at
Answers
Answer:
Step-by-step explanation:
I find the answer at the search bar :)
Abigail’s parents pay her $5 an hour for weeding the yard and pay her little sister $3 an hour for raking leaves.
Write an expression in two different ways to represent the amount their parents will pay Abigail and her sister for working the same number of hours
I dont get help me
Answers
Answer: (MAKE ME BRAINLIST PLEASE)
Answer: For Abigail W = $5t
For her younger sibling W= $3t
Bit by bit clarification:
How about we address the compensation with W
t as the time spent on work in hours
Abigail will be paid $5 every hour, her all out compensation will be
W(abg) = $5t
Her younger sibling will be paid $3 every hour, her complete compensation will be
W(lts) = $3t
HElp PLZ DUE RIGHT KNaw
Answers
Answer:
variables :)
Step-by-step explanation:
Answer:
[tex]....8. \to \: b) \: \: 3 \\......................9. \to \: c) \: coefficients \\............... 10. \to \: d) \: variables[/tex]
Can’t pls help me with this question
Answers
Answer:
Let
Total number of people (T)=1600
those satisfied with the car (t) =720
The percentage of the satisfied people(S)= number of satisfied people divided by the total number of people who took part in the survey, multiplied by 100
=> S=(T/t)*100
S=(720/1600)*100
S=45%
Step-by-step explanation:
Erica and Dana are collecting canned food to donate to a local charity. This morning, Dana had twice as many cans as Erica. Then Dana collected 8 more cans. If Dana has 42 cans of food. How many cans of food does Erica have? (Let e represent the number of cans of food Erica has).
Answers
Answer:
its 42÷2= 21 i think
Step-by-step explanation:
because dana has twice the nb of cans erica has so it dana has 48 then erica has the half number
Which is the better value?
A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70
Answers
Answer:
B
Step-by-step explanation:
2.16/6 = 0.36 cents per 1 ounce
2.70/10 = 0.27 center per 1 ounce
Therefore B. 10 ounces of hot Cheetos for $2.70
Given f(x) = - 2x + 5 and g(n) = 3n - 2, evaluate one of the functions with the indicated value f(-3) and explain your answer
[A] f(-3) = -1
[B] g(-3) = - 11
[C] f(-3) = 11
[D] g(-3) =7
Answers
Answer:
[C] f(-3) = 11
Step-by-step explanation:
f(x) = - 2x + 5f(-3) = - 2(-3) + 5f(-3) = -(-6) + 5f(-3) = 6 + 5 =11HELP PLEASE 35 points
Answers
Answer:
A because f(x) repeats
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
hope it helps
Solve for Angle Measures
What is the value of x in the figure?
X =
Answers
There are 13 girls on Janelle's soccer team. Uniforms cost $32 each. Which equation uses estimation correctly to show about how much money the team spent?
Answers
Answer:
$416
Step-by-step explanation:
From the above question,
Total number did people in a team = 13 girls
Uniform of each member of team = $32
The amount of money the team spent can be calculated as:
$32 × x
Where x = Number of people on the team = 13
The amount spent = $32 × 13
= $416
The amount the team spent is $416
Please help me with this question
Answers
Step-by-step explanation:
y-intercept in the point x = 0
B) is the easiest
g(x) or y value
g(x) = 3x² + 6x -9
= 3(0)² + 6(0) -9
= 0 + 0 -9
= -9
y-intercept = (0,-9)
Sadie's sweets is having a sale on all their baked goods they are regularly priced at $4 but they are marked down to $2.6 what percent off are they
Answers
Answer:
35% off
Step-by-step explanation:
= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%
Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%
2.6 is a 35% decrease of 4.
Explanation: 30%= 0.30
4 times 0.30= 1.4
4-1.4= 2.6
what is ratio of the area of the larger pizza to the area of the smalles pizza ? 12 in to 18 in pizzas ?
Answers
Answer:
18/12= 1.5
Step-by-step explanation:
divide the larger inch by the smaller one so we get a ratio of 18:12
or 1.5:1
where the bigger one is 1.5 times larger for every inch of smaller pie
Subject:Mathematics
Answers
Blah blah blah 20 characters longggggg
Which of the following can change on a daily basis?
a. Climate
b. Weather
c. Both climate and weather
d. Neither climate or weather
Answers
Answer:
the correct awnser would be c because both the climate and weather can change daily
This is because weather changes on a daily basis but climate on the other hand changes over a long period of time.
2. If m is inversely proportional to n, the equation must be written as
C. n= km
m
A. k=
n
k
B.m=-
n
D. none of the above
Answers
Answer:
mn = k
Step-by-step explanation:
Given that,
m is inversely proportional to n.
ATQ,
[tex]m\propto \dfrac{1}{n}[/tex]
or
[tex]m=\dfrac{k}{n}[/tex]
Cross multiplying both sides,
mn = k
Hence, the required equation is "mn=k".
what does m2+ m3= ???????????
Answers
Answer:
M2+m3=90
Step-by-step explanation:
Angle 1 already is equal to 90. A triangle can only go up to 180 wo the other two angles have to add up to 90.