factorize 9(x+y)²- 16(x-3y)²
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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
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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)
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