Question

factorize 9(x+y)²- 16(x-3y)²​

Answer 1

solution

9 ( x ² + 2xy + y² ) - 16 ( x - 3y ) ²

9x² + 18xy + 9y² - 16 ( x - 3y ) ²

9x² + 18xy + 9y² - 16 ( x² - 6xy + 9y² )

9x² + 18xy + 9y² - 16x² + 96xy - 144y²

- 7x² + 18xy + 9y² + 96xy - 144y²

- 7x² + 114xy + 9y² - 144y²

- 7x² + 114xy - 135y²

Answer 2

Answer:

Step-by-step explanation:

9[(x²+2xy+y²)] - 16[(x²-2x*3y+(3y)²]

= 9x²+18xy+9y²-16x²+96xy-144y²

= (3x+3y)²+(-4x+12y)²

= (3x+3y)(3x+3y)+(-4x+12y)(-4x+12y)