Answers
The denominator of the first term is a difference of squares, such that
4a ² - b ² = (2a)² - b ² = (2a - b) (2a + b)
So you can write the fractions as
(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)/(2a + b)
Multiply through the second fraction by 2a - b to get a common denominator:
(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)²/((2a + b) (2a - b))
((4a ² + b ²) - (2a - b)²) / ((2a - b) (2a + b))
Expand the numerator:
(4a ² + b ²) - (2a - b)²
(4a ² + b ²) - (4a ² - 4ab + b ²)
4ab
So the original expression reduces to
4ab / ((2a - b) (2a + b))
or
4ab / (4a ² - b ²)
upon condensing the denominator again.
Related Questions
If the diagonals of a quadrilateral are congruent, is the quadrilateral always a rectangle?
Answers
Answer:
Yes
Step-by-step explanation:
The only quadrilaterals with congruent diagonals are squares and rectangles and squares are technically rectangles so the answer is yes.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.
What is a quadrilateral?The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.
It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral can be a square or a rectangle.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
#SPJ5
i need a number for this question !!!! hurry pleasee !!!!!!
Answers
Answer:
1
Step-by-step explanation:
every output has a different input so the answer would be one
Answer:
A function is a specific type of relation in which each input value has one and only one output value. An input is the independent value, and the output value is the dependent value, as it depends on the value of the input.
A certain hurricane travels at 20.88 kilometers per hour. The distance
from Cuba to Key West is 145 kilometers. Write and solve a multiplication
equation to find about how long it would take the hurricane to travel from
Cuba to Key West.
Answers
Answer:
6.94 hours
Step-by-step explanation:
20.88 = 145/t
20.88t = 145
t=145/20.88t
t=6.94
Answer:
6.94 hours
Step-by-step explanation:
What inverse operations do you use to solve for b?
-9 = -11 + b/8
Answers
Answer:
I would use multiplication
Step-by-step explanation:
Multiplication is the opposite of dividing.
anyone know this? i think it’s 10x. but i’m not sure.
Answers
Answer:
i think its 25x^2
Step-by-step explanation:
5x×5x is 25x^2, because 5 × 5 = 25, and x × x = x^2
please please please can someone help me :)
Answers
Answer:
Step-by-step explanation:
now the equation looks like
3-4Cos(x)=y
hmmm i'm wondering if you can figure it out from here??? it's the same as the other two.. plug in that [tex]\sqrt{2}[/tex] /2 .. can you? :)
Please help
Which expressions are equal to
Answers
Answer:
2 is the answer
Step-by-step explanation:
40
30
Total Cost ($)
20
10
+
o
2 4 6 8
Games
Slope:
Meaning of slope:
Y-intercept:
funtction
Answers
Answer : 70
Step-by-step explanation: because 40 +30 and the biggest number in the chart is 7 just add a 0 and it becomes 70
HeLp
Would a bottle of perfume be measured with liters or millimeters??
Answers
Answer:
Millimeters
Always check out answer.com if you want to! Please don't report!
Hope that helps!
Step-by-step explanation:
The two triangles are similar to each other. How long is the side labeled “?”
Answers
Answer:
12
Step-by-step explanation:
The smaller triangle seems to have dilated and formed the larger triangle. So, let's find the factor of increase.
9 / 3 = 3, so 3 is the factor of increase.
Now we need to do 4 x 3 = 12
So, ? = 12
Hope that helps!
-Sabrina
Evaluate [5 - (4 - 2(6 - 2) + 2)] + 3
A. 12
B -54
C24
D -7
E None of the above
Answers
Answer:
e because the answer would be -4
Find x in the right triangle
Answers
Answer:
The Answer is C
Step-by-step explanation:
Edge 2021
Hope This Helps :)
ANSWER it is C
Step-by-step explanation:
Hypothenuse^2-Kathete^2=Kathete^2
14^2-7^2=Kathete^2
196-49=x
x^2=196-49
x^2=147
x=12,124355653
x=12,1
x=12
THE ANSWER IS C
I hope it help.
have a nice day
can I be brainliest
Best regards
A cylinder has radius 1.6 meters and a height of 12 meters. Find its volume and round to the nearest tenth of a meter.
Answers
Answer:
96.5 m³Step-by-step explanation:
Cylinder volume formula:
V = πr²hSubstitute values:
V = π(1.6)²(12) m³ = 96.5 m³ (rounded to the nearest tenth of a m³)-2/5 w+11 2/5=9 4/5 solve for w please
Answers
Answer:
w = 4.
Step-by-step explanation:
-2/5 w+11 2/5=9 4/5
-2/5w + 57/5 = 49/5
Remove the fractions by multiplying thru by 5:
-2w + 57 = 49
-2w = 49 - 57
-2w = -8
w = 4.
Answer:
w= -8/5
Step-by-step explanation:
Which organisms is an example of a producer?
Answers
Answer: Leaves
Step-by-step explanation:
what should be subtracted from 3 by 5 to get 1 by 5
Answers
Answer:
2/5
Step-by-step explanation:
Hope this helps you!!!
Answer:
2/5.
Step-by-step explanation:
because
3/5+2/5= 1
so, 2/5 will be the answer.
I hope this helps :)
8x-7(1/2x+7)=14
solve thid
Answers
Shoes - $64.99
Calculate a 35% discount using a proportion or an equation.
8-5
Vans OMS
Checkerboard
Shoe-Mu
Your price =
Answers
Answer:
35% of $64.99=35/100 of 64.990=0.35×64.99=$22.7465
DISCOUNTED PRICE=$64.99-$22.7465=$42.2435
PLEASE GIVE BRAINLIEST
Apply the distributive property to factor out the greatest common factor.
24 + 18+ =
Answers
Answer:
42
Step-by-step explanation:
there is no parenthesis so all that is left is to add the 2 numbers together
Answer:
That's wrong this is the answer Factor 6 out of 24 + 18 t .
the answer would be : 6 ( 4 + 3 t )
Step-by-step explanation:
PLZZZZZZZZZZ i said plzzzzzzzzzzzzzzzzz
Answers
Answer:
136
Step-by-step explanation:
Answer:
136
Step-by-step explanation:
90+46
is it a function? and explain briefly why
Answers
Answer:
No
Step-by-step explanation:
Each output can only have one input
Which word has a negative connotation?
A. economical
B. expensive
C. costly
D. cheap
Answers
Answer:
The answer is D cheap.
Step-by-step explanation:
Hope this helped Mark BRAINLEST!!
Answer:
D. cheap
Step-by-step explanation:
When you think of cheap its kind of more like you can't afford something better, opposed to inexpensive where it just means "low cost".
Christine bought lunch 15 times at school this month and spent a total of $49.50. Each of her lunches cost an equal amount
Which equation could Christine use to determine the price of each lunch (p?
15p = 49.50
49.50p = 15
15+p=49.50
49,50 + p = 15
Answers
Answer:
The answer is 15p = 49.50
Answer:
The answer is $3.3
Step-by-step explanation: Because 49.50 divided by 15 is 3.3
write the following using algebraic notation, using the letter x for any unknown numbers. i think of a number, double it, then add 9
Answers
Answer:
2x+9
Step-by-step explanation:
I hope this helps :)
¿cómo puedo encontrar el valor de x en grados?
Answers
the answer of
1. x= 60
2. x= 50
Checks can be used to:
make purchases
pay rent
pay bills
all of the above
Answers
Answer:
all of the above
Step-by-step explanation:
according to your question
Which is a better estimate for the volume of a conditioner bottle?
1 quart
or
1 Fluid Ounce
Answers
Answer:
1 Fluid Ounce
Step-by-step explanation:
2) A circle has an area of 12ñ cm?. Find its circumference. (Round your answer to the
nearest tenth.).
Answers
Answer:
Circumference = 6.92πor
21.75 cmStep-by-step explanation:
Area of Circle = π × radius²
Area of Circle = 12π cm
π × radius² = 12π
radius² = 12
radius = √12
radius = 3.46
Circumference = 2 × π × radius
Circumference = 2 × π × 3.46
Circumference = 6.92πTriangle QRS has coordinates Q(-2, -2), R(0, 3), and S(4, -2) and is dilated by a scale factor of 2. Determine the new coordinates of point S', and state whether the dilation is an enlargement or a reduction
Answers
Given:
Triangle QRS has coordinates Q(-2, -2), R(0, 3), and S(4, -2) and is dilated by a scale factor of 2.
To find:
The new coordinates of point S', and state whether the dilation is an enlargement or a reduction.
Solution:
If a figure is dilated by factor k with origin as center of dilation, then
[tex](x,y)\to (kx,ky)[/tex]
Where, 0<k<1 is reduction and k>1 is enlargement.
The figure is dilated by scale factor 2 which is greater than 1, so the dilation is an enlargement. The rule of dilation is:
[tex](x,y)\to (2x,2y)[/tex]
Using this rule, we get
[tex]S(4,-2)\to S'(2(4),2(-2))[/tex]
[tex]S(4,-2)\to S'(8,-4)[/tex]
Therefore, the new coordinates of point S' are (8,-4).
Plz helpppppppppppppp helpppppppppppppp
Answers
Answer:
(A).option is correct..54cm2