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

    (iii)    (-2x + 3y + 2z)^2

Answers (1)

Given is  (-2x + 3y + 2z)^2

We will Use identity  

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

Here, a =- 2x , b = 3y \ \ and \ \ c = 2z

Therefore,  

(-2x +3y+2z)^2 = (-2x)^2+(3y)^2+(2z)^2+2.(-2x).3y+2.3y.2z+2.z.(-2x)

                                  = 4x^2+9y^2+4z^2-12xy+12yz-8zx

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