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

    (v)    (-2x + 5y -3z)^2

Answers (1)

Given is  (-2x + 5y -3z)^2

We will Use identity  

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

Here, a =- 2x , b = 5y \ \ and \ \ c = -3z

Therefore,  

(-2x +5y-3z)^2= (-2x)^2+(5y)^2+(-3z)^2+2.(-2x).5y+2.5y.(-3z)+2.(-3z).(-2x)

                                    = 4x^2+25y^2+9z^2-20xy-30yz+12zx
 

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