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Question
Expand the following square, using suitable identities
(mn + 3p)2
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Solution
(mn + 3p)2
Comparing (mn + 3p)2 with (a + b)2 we have
(a + b)2 = a2 + 2ab + b2
(mn + 3p)2 = (mn)2 + 2(mn)(3p) + (3p)2
(mn + 3p)2 = m2n2 + 6mnp + 9p2
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