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

 (iv)    (y^2 + \frac{3}{2})(y^2 - \frac{3}{2})

Answers (1)

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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