Q-2 Simplify the following
(a)(3x+2y)²-(3x-2y)²
(b)(px+qy)(ax-by)
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Answer:
(a)(3x+2y)²-(3x-2y)²
[ (3x)^2 + (2y)^2 + 2×3x×2y ] - [ (3x)^2 + (2y)^2 -
2×3x×2y ]
(9x^2 + 4y^2 + 12xy) - (9x^2 + 4y^2 - 12xy)
9x^2 + 4y^2 + 12xy - 9x^2 - 4y^2 + 12xy
24xy
(b)(px+qy)(ax-by)
px(ax-by) + qy(ax-by)
pax^2 - pxby + qyax - qby^2
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