Question

Use a suitable identity find the value of:-
${97}^{2}$

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Answer 1

Answer:

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Answer 2

$\huge \fbox{Answer}$

$\large \underline{\frak{ \color{red}Given:}}$

$\mapsto \sf{ {97}^{2} }$

$\large \underline{\frak{ \color{plum}To \: find:}}$

${ \leadsto \sf{Using \: suitable \: identity,find \: the \: value \: of \: {97}^{2} .}}$

$\large \underline{\frak{ \color{blue}Concept \: used:}}$

${ \rightarrow \sf{We \: write \: {97}^{2} \: in \: the \: form \: of \: {(90 + 7)}^{2}.}}$

$\large \underline{\frak{ \color{indigo}Identity \: used:}}$

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

$\large \underline{\frak{ \color{indi}According \: to \: Question:}}$

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

${: \implies \sf{ {(90 + 7)}^{2} = {(90)}^{2} + 2 \times 90 \times 7+ {(7)}^{2} }}$

${: \implies \sf{ {(97)}^{2} = 8,100+ 1,260+ 49 }}$

${: \implies \sf{ {9,409 = 9,409 }}}$