Question

Factorize:
9(x-2y)^2 -4(x-2y)-13

Answer 1

Heya buddy,
nice question, you will be amazed when you will see the answer,
its very simple. I am solving it using the middle term splitting method.

Q. Factorise:
9(x-2y)²-4(x-2y)-13

Here is your answer :

Let (x - 2y) = a
then,
9(x-2y)²-4(x-2y)-13
= 9a² - 4a - 13

by using middle term splitting method
we can split 4a to 13a - 9a

So 9a² - 4a - 13
= 9a² - ( -9a +13a ) - 13
= 9a² + 9a - 13a - 13
= 9a ( a + 1 ) - 13 ( a + 1 )
= ( 9a - 13 ) ( a + 1 )

by putting the value of "a" in it we will get

[9(x-2y)-13] [(x-2y)+1]

= (9x - 18y - 13) (x - 2y +1)




Hope this help
i had tried my best to give the answer in an easiest way. if u have any doubt u can ask me anytime.

Thank you



- Sneha
x brainly star
x brainly benefactor
ordinary but powerful and helpful user.

Answer 2

Please refer to the attachment