Question

Find the value of : [(2p+3q)(2p+3q) ]-[(2p-3q)(2p-3q)]​

Answer 1

answer is 24 by the formula of a+b

Answer 2

SOLUTION

TO DETERMINE

[(2p+3q)(2p+3q) ]-[(2p-3q)(2p-3q)]

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

$\sf{1. \: \: a \times a = {a}^{2} }$

$2. \: \sf{ {(a + b)}^{2} - {(a - b)}^{2} = 4ab }$

EVALUATION

[(2p+3q)(2p+3q) ]-[(2p-3q)(2p-3q)]

$\sf{ = {(2p + 3q)}^{2} - {(2p - 3q)}^{2} } \: \: \: \:( using \: 1)$

$\sf{ = 4\times 2p \times 3q } \: \: \: \:( using \: 2)$

$\sf{ =24pq }$

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