Question 85 (vi)

Expand the following, using suitable identities.

$(x + 3) (x + 7)$

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Solution

We have,
$(x + 3) (x + 7) = x^{2} + (3 + 7) x + 3 \times 7$
[using the identity, $(x + a) (x + b) = x^{2} + (a + b) x + a b$ ]
$= x^{2} + 10 x + 21$

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