Question

$81 {(x + 1)}^{2} - 90(x + 1)(y + 2) + 25 {(y + 2)}^{2}$
Factorise...
First correct answer will be marked as brainliest...!!!

Answer 1

Given :

81(x + 1)^2 - 90(x + 1)(y + 2) + 25(y + 2)^2

= > 81(x + 1)^2 - 45(x + 1)(y + 2) - 45(x + 1)(y + 2) + 25(y + 2)^2

= > 9(x + 1)[9(x + 1) - 5(y + 2)] - 5(y + 2)[45(x + 1) - 5(y + 2)]

= > [9(x + 1) - 5(y + 2)][9(x + 1) - 5(y + 2)]

= > [9x + 9 - 5y - 10][9x + 9 - 5y - 10]

= > [9x - 5y - 1][9x - 5y - 1]

= > (9x - 5y - 1)^2.


Hope this helps!

Answer 2

Hi,

Please see the attached file!


Thanks