Question

Factors of 9(x+y)²-(x-y) ²=?

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$9 {(x + y)}^{2} - {(x - y)}^{2} \\ \\ = 9( {x}^{2} + 2xy + {y}^{2} ) - ( {x}^{2} - 2xy + {y}^{2} ) \\ \\ = 9 {x}^{2} + 18xy + 9 {y}^{2} - {x}^{2} + 2xy - {y}^{2} \\ \\ = 8 {x}^{2} + 20xy + 8 {y}^{2} \\ \\ = {(2 \sqrt{2}x) }^{2} + 20xy + {(2 \sqrt{2}y )}^{2} \\ \\ = {(2 \sqrt{2} x + 2 \sqrt{2}y) }^{2} \\ \\ = (2 \sqrt{2} x + 2 \sqrt{2} y)(2 \sqrt{2} x + 2 \sqrt{2} y)$

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