Solve: (x+2 y)^2-4(a x-y)^2 - Vidyadip

Question

Solve:
$(x+2 y)^2-4(a x-y)^2$

✓

Answer

$(x+2 y)^2-4(a x-y)^2$
$= [(x + 2y) - 2(2x - y)][(x + 2y) + 2(2x - y)]$
$= (x + 2y - 4x + 2y)(x + 2y + 4x - 2y)$
$= 5x(4y - 3x)$

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