Q

# Use suitable identities to find the following product: ( 3 - 2x) (3 + 2x)

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

(v)    $(3 - 2x) (3 + 2x)$

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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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