Question

simplify (-9x^2-10y)^2

Answer 1

Hold on :)

Answer 2

What do you do first? :)

Answer 3

Here i will give you the first part.

Answer 4

\[(-9x^2 - 10y)^2 = (-9x^2 + -10y)(-9x^2 + -10y)\]

Answer 5

which then becomes.

Answer 6

You would distribute?

Answer 7

\[(-9x^2)(-9x^2) + (-9x^2)(-10y) + (-10y)(-9x^2) + (-10y)(-10y)\]

Answer 8

What does that become? :)

Answer 9

would you add the exponents?

Answer 10

Why yes you would :)

Answer 11

Not all together but you know :)

Answer 12

Hint what you will get goes to: \[81x^4 + ?\]

Answer 13

I will give you the part before the last part so you only have to do one thing as i need your participation.

Answer 14

-40y?

Answer 15

\[81x^4 + 90x^2y + 90x^2y + 100y^2\]

Answer 16

Can you do the rest?

Answer 17

It only transforms into 1 last thing.

Answer 18

what do you do with the y after the exponent of 2 ?

Answer 19

Well nothing really as you combine the 2 90's which gives you what?

Answer 20

81x^4+180x^4y^2+100y^2?

Answer 21

Not quite the middle is wrong, the 90's exponents do not combine.

Answer 22

it would be 180x^2y

Answer 23

Which means whats your final answer?

Answer 24

81x^4+180x^2y+100y^2?

Answer 25

Correct!

Answer 26

Thank You!

Answer 27

Sure thing!

Answer 28

Anything else you need help with? If so post another question and close this one :)!

Answer 29

Okay Thank You!

Answer 30

^-^