Question 85 (xiv)

Expand the following, using suitable identities.

$(7 x + 5)^{2}$

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Solution

We have,
$(7 x + 5)^{2} = (7 x)^{2} + 5^{2} + 2 \times 7 x \times 5 = 49 x^{2} + 25 + 70 x$
[using the identity, $(a + b)^{2} = a^{2} + b^{2} + 2 a b$ ]

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