(A) The given expression is $\left(y^{2}+\frac{3}{2}\right)\left(y^{2}-\frac{3}{2}\right)$.Using the algebraic identity $(a+b)(a-b) = a^{2}-b^{2}$,whe

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(A) The given expression is $\left(y^{2}+\frac{3}{2}\right)\left(y^{2}-\frac{3}{2}\right)$.Using the algebraic identity $(a+b)(a-b) = a^{2}-b^{2}$,where $a = y^{2}$ and $b = \frac{3}{2}$,we get:$\left(y^{2}+\frac{3}{2}\right)\left(y^{2}-\frac{3}{2}\right) = (y^{2})^{2} - \left(\frac{3}{2}\right)^{2}$$= y^{4} - \frac{9}{4}$

Class 9 Mathematics Polynomials Textbook - Polynomials

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

A
$y^{4}-\frac{9}{4}$
B
$y^{4}+\frac{9}{4}$
C
$y^{2}-\frac{9}{4}$
D
$y^{4}-\frac{3}{2}$

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

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Verify whether the following is a zero of the polynomial indicated against it:
$p(x) = x^{2}, \, x = 0$