The correct option is D (q 3p)^2Using identity (a+b)(a b) = a^2 b ^2, (q +3 p) × nbsp;(q 3p) = q^2 9p^2 or nbsp;(q 3p)^2 nbsp; ...

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(a+b)(a-b) Expansion and Visualisation

q+3 p ×q-3 p=

Question

$(q + 3 p) \times (q - 3 p)$ = ___________.

(q - 3 p)^{2}

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q^{2}

3 p^{2}

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p^{2}

q^{2}

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p^{2}

3 q^{2}

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Solution

The correct option is A $(q - 3 p)^{2}$
Using identity $(a + b) (a - b) = a^{2} - b^{2}$ ,

$(q + 3 p) \times (q - 3 p)$

= $q^{2} - 9 p^{2}$ or $(q - 3 p)^{2}$

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