Question

use suitable identity and solve (y^2+3/2)(y^2-3/2)​

Answer 1

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Answer 2

$\color {red} </p><p>\Large \underline {\underline {Question \: :}}$

Solve it by using suitable property.

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

$\color {red} </p><p>\Large \underline {\underline {Identity \: used\: :}}$

$(x + y)(x - y) = {x}^{2} - {y}^{2}$

$\color {red} </p><p>\Large \underline {\underline {Solution \: :}}$

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

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

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

$\implies$ Answer is y⁴ - 9/4.

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