Find the factors of the following expression:
$4 p^{2} - 9 q^{2}$

(2 p - 3 q)

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(2 q - 3 q)

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(2 p + 3 q)

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(2 q + 3 q)

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Solution

The correct options are
A $(2 p - 3 q)$
D $(2 p + 3 q)$
$4 p^{2} - 9 q^{2}$
$= (2 p)^{2} - (3 q)^{2}$
$= (2 p + 3 q) (2 p - 3 q)$

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Similar questions

x = \frac{\sqrt{2 p + 3 q} + \sqrt{2 p - 3 q}}{\sqrt{2 p + 3 q} - \sqrt{2 p - 3 q}}

3 q x^{2} - 4 p x + 3 q

x + 2 p + 3 q = 14

2 x p + 6 p q + 3 q x = 4

x^{2} + 4 p^{2} + 9 q^{2} .

\frac{12 p q}{(2 p + 3 q)^{2} - (2 p - 3 q)^{2}}

Factorize the following:
$15 a (2 p - 3 q) - 10 b (2 p - 3 q)$

4 (2 p - 3 q)

4 (2 p - 3 q)

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