factorise (x+y)² - x²
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Answer: (4x+3y)(2x+3y)
Step-by-step explanation:
9(x+y)² - x²
= 9(x+y)(x+y) - x²
= 9(x²+2xy+y²) - x²
= 9x² + 18xy + 9y² - x²
= 8x² + 18xy + 9y²
= (4x+3y)(2x+3y)
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