1.(v) Use suitable identities to find the following product:

    (v)    (3 - 2x) (3 + 2x)

 

Answers (1)

We can write (3 - 2x) (3 + 2x)  as

(3 - 2x) (3 + 2x)=-4\left ( x-\frac{3}{2} \right )\left(x+\frac{3}{2} \right )

We will use identity 

(x+a)(x-a)=x^2-a^2

Put   a = \frac{3}{2}

-4(x + \frac{3}{2})(x- \frac{3}{2}) =-4\left ( \left ( x \right )^2-\left(\frac{3}{2} \right )^2 \right )
     
                                        =9-4x^2

Therefore, (3 - 2x) (3 + 2x)  is equal to  9-4x^2

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