# 1.(iv)  Use suitable identities to find the following product: (iv)    $(y^2 + \frac{3}{2})(y^2 - \frac{3}{2})$

G Gautam harsolia

We will use identity

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

Put   $x=y^2 \ \ and \ \ a = \frac{3}{2}$

$(y^2 + \frac{3}{2})(y^2 - \frac{3}{2}) = \left ( y^2 \right )^2-\left(\frac{3}{2} \right )^2$

$= y^4-\frac{9}{4}$

Therefore, $(y^2 + \frac{3}{2})(y^2 - \frac{3}{2})$  is equal to  $y^4-\frac{9}{4}$

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