Question

Evaluate 198×207 by using proper identity

Answer 1

hello,

$(198 \times 202) = (200 - 2)(200 + 2)$

$using \: identity$

$(a + b)(a - b) = {a}^{2} - {b}^{2}$

$now$

$(200 - 2)(200 + 2) = {200}^{2} - {2}^{2}$

$40000 - 4$

$= 39996$

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Answer 2

$198 × 207$

$(200 - 2) × (200 + 7)$

$using \: identity$

$(x + a)(x + b) = x² + (a + b)x + ab$

$So ,$

$(200)² + (-2 + 7)(200) + (-2)(7)$

$(40,000 + 5(200) - 14)$

$(40,000 + 1000 - 14)$

$40,986$