Question

Evaluate: (i) 82^2 + 78^2

(ii) 97^2 − 83^2​

Answer 1

$i) \: \: \: \: \: 82 {}^{2} + 78 {}^{2} \\ = (82 + 78) {}^{2} - 2 \times 82 \times 78 \\ = 160 {}^{2} - 12792 \\ = 25600 - 12792 \\ = 12808$

$ii) \: \: \: \: \: 97 {}^{2} - 83 {}^{2} \\ = (97 + 83)(97 - 83) \\ = 180 \times 14 \\ = 25200$.

Answer 2

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