Q4 of 90 Page 33

Expanding the following using suitable identities.

(m + 2n – 5p)2

Using identity:

(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx


(m + 2n + (– 5p))2 = (m)2 + (2n)2 + (– 5p)2 + 2(m)(2n) + 2(2n)(– 5p) + 2(– 5p)(m)


= m2 + 4n2 + 25p2 + 4mn – 20np – 10mp


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