The correct option is B (x+4p)(px 3q) We have, px^2+(4p^2 3q)x 12pq Also can be written as, #160; px^2+4p^2x 3qx 12pq =px(x+4p) 3q(x+4p) ...

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Expansion of (x^2 - y^2)

px2+4p2-3qx-1...

Question

$p x^{2} + (4 p^{2} - 3 q) x - 12 p q =$

(x - 4 p) (p x - 3 q)

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(x + 4 p) (p x - 3 q)

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(x + 4 p) (p x + 3 q)

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(x - 4 p) (p x + 3 q)

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Solution

The correct option is B $(x + 4 p) (p x - 3 q)$
We have, $p x^{2} + (4 p^{2} - 3 q) x - 12 p q$
Also can be written as,
$p x^{2} + 4 p^{2} x - 3 q x - 12 p q = p x (x + 4 p) - 3 q (x + 4 p) (taking (x + p) common) = (p x - 3 q) (x + 4 p)$

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