Use suitable identities to find the following product: ( $y^{2}$ + $\frac{3}{2}$ )( $y^{2}$ – $\frac{3}{2}$ )

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Solution

Using identity, $x^{2}$ – $y^{2}$ = (x+y)(x-y)

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

= ${(y^{2})}^{2}$ – $(\frac{3}{2})^{2}$

= $y^{4}$ – $\frac{9}{4}$

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Q. Use suitable identities to find the following products:

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

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Q. Question 1
Use suitable identities to find the following products:
(i) (x + 4) (x + 10)
(ii) (x+8) (x-10)
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(iv)

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

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Use suitable identities to find the following product: (y2 + 32)(y2 – 32)

Using identity, x2 – y2 = (x+y)(x-y) (y2 + 32) (y2 - 32) =(y2)2 – (32)2 = y4 – 94

Use suitable identities to find the following product: ( $y^{2}$ + $\frac{3}{2}$ )( $y^{2}$ – $\frac{3}{2}$ )

Using identity, $x^{2}$ – $y^{2}$ = (x+y)(x-y)

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

= ${(y^{2})}^{2}$ – $(\frac{3}{2})^{2}$

= $y^{4}$ – $\frac{9}{4}$