Question

using identity
${( {y}^{2} + 9)}^{2}$
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Answer 1

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Using identity

Solve:- (y² + 9)²

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${( {y}^{2} \: + \: 9) }^{2}$

$using \: identity \\ {(a \: + \: b)}^{2} = {a}^{2} \: + {9}^{2} + 2ab$

$therefore \\ {( {y}^{2} \: + \: 9)}^{2} = {( {y}^{2}) }^{2} + {9}^{2} + 2 \times {y}^{2} \times 9$

$= \: {y}^{4} \: + 81 + 18{y}^{2}$

So, (y² + 9)² = y⁴ + 81 + 18y².

Answer 2

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$\sf \large \color{navy} Identity \: to \: be \: used : \\ \bf \color{navy} (a + b)^{2} = {a}^{2} + 2ab + {b}^{2} \\ \bf \color{navy} \therefore ( {y}^{2} + 9)^{2} = ( {y}^{2})^{2} + 2( {y}^{2} )(9) + {9}^{2} \\ \bf \color{navy} = \underline{ \underline{{y}^{4} + 18 {y}^{2} + 81}}$

$\huge \bf \color{navy}{Hope \: it \: helps..!!}$