Q : 2        Use the identity  (x+a)(x+b)=x^2+(a+b)x+ab   to find the following products.

                (v) (2x+5y)(2x+3y)

Answers (1)

We use identity  (x+a)(x+b)=x^2+(a+b)x+ab
In this a = 5y , b = 3y and x = 2x 
                                             (2x+5y)(2x+3y) =  (2x)^2+(5y+3y)(2x)+(5y)(3y)
                                                                                  = 4x^2+16xy + 15y^{2}

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