4.(i) Expand each of the following, using suitable identities:

   (i)    (x + 2y+4z)^2

Answers (1)

Given is  (x + 2y+4z)^2

We will Use identity  

(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca

Here, a = x , b = 2y \ \ and \ \ c = 4z

Therefore,  

(x + 2y+4z)^2 = (x)^2+(2y)^2+(4z)^2+2.x.2y+2.2y.4z+2.4z.x

                                = x^2+4y^2+16z^2+4xy+16yz+8zx

                               

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