Question

(iv)
$(y {}^{2} + 3 \div 2) \: (y {}^{2} - 3 \div 2)$
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Answer 1

$\mathcal \red{{ANSWER:-}}$

$\tt( {y}^{2} + \frac{3}{2} )( {y}^{2} - \frac{3}{2} ) \\ \\ \tt = (\frac{ {2y}^{2} + 3 }{2} )( \frac{ {2y}^{2} - 3 }{2} ) \\ \\ \tt = \frac{ {4y}^{4} - 9}{4} \: \: ...(a + b)(a - b) = {a}^{2} - {b}^{2} \\ \\ \tt = \frac{ {4y}^{4} - 9 }{4} \: \: is \: \: answer.$