Q4 of 90 Page 33

Expanding the following using suitable identities.

(a + 2b + 4c)2

Using identity:

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


(a + 2b + 4c)2 = (a)2 + (2b)2 + (4c)2 + 2(a)(2b) + 2(2b)(4c) + 2(4c)(a)


= a2 + 4b2 + 16c2 + 4ab + 16bc + 8ac


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