Use suitable identities to products : left(y^{2}+frac{3}{2}right)left(y^{2}-frac{3}{2}right)

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2. Polynomials

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

Option A

Option B

Option C

Option D

Solution

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

Using the identity $(a+b)(a-b)=a^{2}-b^{2},$ we have :

$\left(y^{2}+\frac{3}{2}\right)\left(y^{2}-\frac{3}{2}\right)=\left[y^{2}\right]^{2}-\left[\frac{3}{2}\right]^{2}=y^{4}-\frac{9}{4}$

Standard 9

Mathematics

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