Evaluate the following product without multiplying directly:
$95 \times 96$ [1 MARK]

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Solution

Formula: 0.5 Mark
Application: 0.5 Mark

$95 \times 96 = (100 - 5) (100 - 4)$

Using identity,
$(x - a) (x - b) = x^{2} - (a + b) x + a b$

$95 \times 96 = {(100)}^{2} - (5 + 4) (100) + (5) (4)$

$= 10000 - 900 + 20$

$= 9120$

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