Question

use the identities to evaluate:(97)2

Answer 1

the suitable property for this = (a-b)2
(100-3)whole square

Answer 2

Using,
${(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab$
$\: \: \: \: {97}^{2} \\ = {(100 - 3)}^{2} \\ = {100}^{2} + {3}^{2} - 2 \times 100 \times 3 \\ = 10000 + 9 - 600 \\ = 9409.$




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