Question 86 (vii)

Using suitable identities, evaluate the following:

$47 \times 53$

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Solution

We have,
$47 \times 53 = (50 - 3) (50 + 3)$
$= (50)^{2} - (3)^{2}$ [using the identity, $(a - b) (a + b) = a^{2} - b^{2}$ ]
$= 2500 - 9$
$= 2491$

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