Question

evaluate 105square using identity​

Answer 1

Refer The attachment for your answer

Answer 2

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evaluate (105)² using identity

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${105}^{2} \: can \: be \: writen \: as \: {(100 + 5)}^{2}$

${(105)}^{2} = {(100 + 5)}^{2}$

${(100 + 5)}^{2}$

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

$substitute \: the \: values$

${(100 + 5)}^{2} = {(100)}^{2} + {(5)}^{2} + 2(100)(5)$

$= 10000 + 25 + 1000$

${\boxed {\boxed {= 11025}}}$

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