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Linear Equation in 2 Variables

9 2 - x 2 +4x...

Question

$9^{2} - x^{2} + 4 x y - {4 y}^{2}$

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Solution

We have,

$9^{2} - x^{2} + 4 x y - 4 y^{2}$

$\Rightarrow 9^{2} - (x^{2} - 4 x y + 4 y^{2})$

$\Rightarrow 9^{2} - {(x - 2 y)}^{2}$

$\Rightarrow (9 - x + 2 y) (9 + x - 2 y)$

Hence, this is the answer.

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