Use suitable identities to find the product: | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

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

Vedclass · Answer

(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}$

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

Similar Questions

Factorise the following expression: $27 x^{3}-8 y^{3}-54 x^{2} y+36 x y^{2}$

Factorise $4 x^{2}+9 y^{2}+49 z^{2}-12 x y+42 y z-28 z x$.

Expand each of the following,using suitable identities: $(-2x + 5y - 3z)^2$

Evaluate the following product without multiplying directly:
$93 \times 95$

Factorise $8 x^{3}+27 y^{3}+36 x^{2} y+54 x y^{2}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module