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Question
Simplify using identities
(3p + q)(3p + r)
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Solution
(3p + q)(3p + r)
Substitute x = 3p, a = q and b = r in
(x + a)(x + b) = x2 + x(a + b) + ab
(3p + q)(3p + r) = (3p)2 + 3p(q + r) + (q × r)
= 32p2 + 3p(q + r) + qr
(3p + q)(3p + r) = 9p2 + 3p(q + r) + qr
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