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

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Solution

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

This is in the form of $(a + b) (a - b)_{=} a^{2} - b^{2}$

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

$\Rightarrow (y^{2} + \frac{3}{2}) (y^{2} - \frac{3}{2}) = y^{4} - \frac{9}{4}$

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

Use suitable identities to find the following products:
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Q. Use suitable identities to find the following products:
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(x + 4) (x + 10)

(ii)

(x + 8) (x - 10)

(iii)

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

(v)

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Q. Use suitable identities to find the following products:

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Q. Use suitable identities to find the following products:

(x^{2} + \frac{3}{5}) (x^{2} - \frac{3}{5})

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Use suitable identities to find the following products:(y2+32)(y2−32)

(y2+32)(y2−32)This is in the form of (a+b)(a−b)=a2−b2⇒(y2+32)(y2−32)=(y2)2−(32)2⇒(y2+32)(y2−32)=y4−94

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

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

This is in the form of $(a + b) (a - b)_{=} a^{2} - b^{2}$

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

$\Rightarrow (y^{2} + \frac{3}{2}) (y^{2} - \frac{3}{2}) = y^{4} - \frac{9}{4}$