Question

Solve (2a^2 + 3a) ^2​

Answer 1

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\tt {\underbrace {Solve}}$

$\sf \bf {({2a}^{2}+ 3a)}^{2}$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf\implies {(2{a}^{2}+ 3a)}^{2}$

$\sf \bf \implies [{{(2a}^{2})}^{2}+2({2a}^{2})(3a)+{(3a}^{2})]$

$\implies{\boxed {\color {green} {\sf \bf [4{a}^{4}+12{a}^{3}+9{a}^{2}]}}}$

$\tt {\underbrace {USED\:IDENTITY}}$

$\sf \bf {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU }}}$

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$\sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

$\sf \bf Identities$

$\sf \bf {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}$

$\sf \bf {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}$

$\sf \bf (a+b) (a-b) ={a}^{2}-{b}^{2}$

${\mathbb{\colorbox {orange} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {lime} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {aqua} {@suraj5070}}}}}}}}}}}}}}}$