factorise fully :

4(x - y)^2 - 9(x + y)^2​

Answers

Answer 1

Answer:

- ( 5x + y ) ( x + 5y )

or

-5x^2 - 5y^2 - 26xy

Answer 2

Answer:

Step-by-step explanation:

4(x^2-2xy+y^2)-9(x^2+2xy+y^2)

4x^2-8xy+4y^2-9x^2-18xy-9y^2

-5x^2-26xy-5y^2

-5x^2-xy-25xy-5y^2

-x(5x+y)-5y(5x+y)

(-x-5y)(5x+y) or you can also remove the negative one to get

-(x+5y)(5x+y)


Related Questions

An eagle eats about 1 bound of food in 1 day. A crow eats about 3 pounds of food in 2 days which bird eats more more food per day.

Answers

Answer:

The crow eats more food per day.

Step-by-step explanation:

eagle eats 1 pound per day.

crow eats 3 pounds/2 days -> 1.5 pounds per day

1.5 > 1

The crow eats more because the eats 3/2 food per day and the eagle eats 1 pound per day. And 3/2= 1 1/2

Which expressions are equivalent to - 6z +(-4.5) + 2.5z + 5y -3.5?
Select all that apply.
A. - 8 + 5y +3.52
B. - 3.5z + 5y - 8
C. - 8 + 5y +(-3.5z)
OD. 5y - 8 -3.52
E. 5y + (-3.52) - 4.5

Pls help

Answers

Step-by-step explanation:

babababababababbababavavabababababa

Please help me with this.

Answers

Answer:

105

Step-by-step explanation:

A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collected.

Which function most accurately represents this data, where n is the number of bacteria and t is the time elapsed, in hours?

n = 2t
n = 2^t
n = t^2
n =

Answers

A is the answer

EXPLANATION-

what two number multiply to make -36 as well as add to make 16

Answers

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

1. x+1 when x=10


2. 5y-8 when y=6


3. 6t-9m when t=5 and m=3


4. 62/2 when x=10


5. 5h3-3j2+20​​ when h=4 and j=5

Answers

Answer:

1

X is equal to 10

10 plus 1 equals 11

2

y is equal to 6

30 minus 8

is equal to 22

3

m equals 3 and t equals 5

30 minus 27

is equal to 3

4 not written properly

5 not written properly

Find the interest earned from an investment of $14000 for 4 years at an interest rate of 6.85% compounded continuously. Round to the nearest cent.

Answers

Answer:

$4242

Step-by-step explanation:

Given data

Principal=  $14000

TIme = 4 years

Rate= 6.85%

Let us find the final amount A

A=P(1+r)^t

substitute

A=14000(1+0.0685)^4

A=14000(1.0685)^4

A=14000*1.303

A=$18242

Hence the interest is

Interest= Final amount-Principal

=18242-14000

=$4242

There are 14 penguins on the rocks. Half as many are swimming. How many are in the water? How many in all?

Answers

Answer:

7 penguins are in the water.

21 penguins in all.

Step-by-step explanation:

14 penguins on the rocks.

Half of them equals 7 are in the water swimming.

7 + 14 = 21

7 penguins are in the water.

21 penguins in all.

The number of penguins in water = 7 penguins

The total number of penguins  = 21 penguins


What are word problems?

Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.

From the information given:

There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimming

Thus, the number of penguins in water = 7 penguins

The total number of penguins overall = penguins in water + penguins on the rock

The total number of penguins overall = 7 + 14

The total number of penguins overall = 21 penguins

Learn more about word problems here:

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question is in picture i forgot how to do this and my sister is working on it rn anyone help?

Answers

Answer:

it's A.

Step-by-step explanation:

so basically an open circle means < or >

a closed circle (the filled in one) means greater/least than or equal to

the sign > with an equal sign under it

hope this helps I forgot too for a minute lol

GIVING BRAINLIST!!!
Danielle borrows $2.500 from the bank at 6%
simple interest for 5 years. How much is
Danielle going to pay in interest?
6. (Show work there)
all

Answers

Answer:

150

2.500/6%

not 100% sure tho

Answer:  1 = 2,500 x 0.06 x 5

If I played at 2am and for my friend his time 8am so now if it 6pm for me now , what time is it for him? Hint For him will be Am

Answers

Answer:

12am

Step-by-step explanation:

Add 6 hrs to 6pm, you will get 12am

Answer: 12

Step-by-step explanation:

A student simplified the expression (3x^2+2)-(2x^2+4) as x^2+^6 Explain what the student did incorrectly and state the correct answer.

Answers

Answer:

x^2 - 2

Step-by-step explanation:

The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been

x^2 - 2

(3x²+2)-(2x²+4)

write in a different form, remove parentheses

3x²+2-2x²-4

calculate the value of the corresponding terms

x²-2

Answer: Yes, he made a mistake.

A simplified expression would look like this x²-2 and not like this x²+^6.

What is categorical data

Answers

Answer:

Categorical variables represent types of data which may be divided into groups. It can not measure.

Step-by-step explanation:

Which expression has the greatest value?

Answers

Answer:

the last one

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] and  [tex]16^{3/2}[/tex] expressions have the greatest value.

What is square root and cube root of a number?

Square root of a number results a number that when square, gives us the previous number.

Similarly, cube root of a number results a number that when cubed, gives us the previous number.

Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64

[tex]16^{3/2}[/tex] = 4³ = 64

[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16

√(16²) = √(16 × 16) = 16

Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.

Learn more about square root and cube root of a number here: https://brainly.com/question/9664917

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Simplify the expression. Explain each step.
5.3 + (W + 1.2)

Answers

5.3 + (w+1.2)

Remove the parenthesis because there’s no distribution involved...

5.3+w+1.2

Add 5.3 and 1.2

(5.3+1.2)+w

6.5+w


Your answer is *6.5+w* the number does not have a variable (w) so we cannot solve any further ^^




How do you graph it ?

Answers

Answer:

It should look like this

Step-by-step explanation:

hope it helps

Find the value of x.

Answers

Answer:

6

Step-by-step explanation:

The two small triangles are congruent by SAS.

By CPCTC, x = 6.

Answer: 6

2a + 3b = 5
b = a - 5

Answers

1st Equation:

Answer for A:

[tex]a = \frac{5 - 3b}{2} [/tex]

Answer for B:

[tex]b = \frac{5 - 2b}{3} [/tex]

2nd Equation:

Answer:

[tex]a = b + 5[/tex]

hope it helps.

PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?

Answers

Answer:

C

Step-by-step explanation:

Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅

We come up to the conclusion of C

All repeating decimals are irrational True or false

Answers

Answer:

True

Step-by-step explanation:

Answer: the answer is true sorry if its wrong

Step-by-step explanation:

have a nice day buddy

Help pleaseeeeee!! D:
Find the perimeter of the trapezoid below:

NO CAP PLEASE, TAKE YOUR TIME!!!

Answers

Answer:

Perimeter = 82 units

Step-by-step explanation:

Find:

Perimeter

Computation:

Unknown height = 13 + x

So,

25² = x² + 24²

x = 7

So,

Unknown height = 13 + 7

Unknown height = 20 unit

Perimeter = 25 + 24 + 13 + 20

Perimeter = 82 units

w3=24
Question 4 options:

w = 8


w = 72


w = 12


w = 6

Answers

The answer is w=8.....

Answer:

w=8

Step-by-step explanation:

i took the k12 test

Which is the graph of the linear inequality 1/2x-2y>-6y

Answers

Answer: Are you high school because GOD that looks hard to do.

Step-by-step explanation:

Anyone know the answer to this ?

Answers

Answer:

no srry

Step-by-step explanation:

Find the area of the following
triangle:
5.7 cm
4 cm
13 cm
A= [?] cm
Enter the exact answer as a decimal.

Answers

The final statement is: Area of triangle is equal to 83.65 cm²

What is the Area of a Triangle?

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

Given here: The dimensions of the triangle as 5.7 cm ,4 cm, 13 cm

Now the perimeter of the triangle is equal to s=5.7+4+13=22.7 cm

Therefore the area = [tex]\sqrt{22.7(22.7-5.7).(22.7-4).(22.7-13)}[/tex]

                                 =[tex]\sqrt{6998.401}[/tex]

                                  =83.65 cm²

Hence, The area of the triangle is equal to 53.65 cm²

Learn more about  triangles here:

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Please help me with this i will give brainliest

Answers

Answer:

i think it's 10%

Step-by-step explanation:

20 Points!!!! PLEASE help!! Math!! Due soon!!

Answers

Answer:

the first one is true, the third one is true, the fourth one is true, the fifth one is true

Step-by-step explanation:

the second one is false

50 points. Can someone draw me the diagram.
If someone can draw it for me I'll be able to finish the rest myself. I'm just confused about what it is I'm supposed to draw. The directions are in the picture.

Answers

Answer:

*screenshot

Step-by-step explanation:

I tried my best drawing digitally

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?

Answers

Answer:

x = -3

Step-by-step explanation:

using the slope formula y2 - y1/x2 - x1 = 1 so

-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7

1. How long does it take running at a rate of 12m/s over a distance of 360m?

Answers

Step-by-step explanation:

T=D/S

D=360m

S=12m/s

360m÷12m/s

Time=30s

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