Question

Evaluate:
1) 97*98
2) (97) ²

Plz it's urgent
Plz help me.....

Answer 1

$\textit{\large{\underline{\underline{\pink{Step by step Explanation:-}}}}}$

1.)$\mathrm{97\times{98}}$

$\mathrm{=(90+7)(90+8)}$

$\textit{\underline{Using Identity,,}}$

$\mathrm{\boxed{\red{(x+a)(x+b)=x^{2}+(a+b)x+ab}}}$

$\mathrm{=90^{2}+(7+8)90+7\times{8}}$

$\mathrm{=8100+15\times{90}+56}$

$\mathrm{=8100+1350+56}$

$\mathrm{=9506}$

2.)$\mathrm{(97)^{2}}$

$\mathrm{=(90+7)^{2}}$

$\textit{\underline{Using Identity,,}}$

$\mathrm{\boxed{\red{(a+b)^{2}=a^{2}+2ab+b^{2}}}}$

$\mathrm{=90^{2}+2\times{90}\times{7}+7^{2}}$

$\mathrm{=8100+1260+49}$

$\mathrm{=9409}$

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