R. D. Sharma Solutions for Chapter: Algebraic Identities, Exercise 1: EXERCISE

Simplify the following:

$322\times 322-2\times 322\times 22+22\times 22$

Simplify the following:

$0.76\times 0.76+2\times 0.76\times 0.24+0.24\times 0.24$

Simplify $\frac{7.83\times 7.83-1.17\times 1.17}{6.66}$ using appropriate identity.

If $x+\frac{1}{x}=11$  find the value of  $x^2+\frac{1}{x^2}$

If $x-\frac{1}{x}=-1$  find the value of  $x^2+\frac{1}{x^2}$

If $2x+3y=8 and xy=2$ find the value of  $4x^2+9y^2$ 

If $3x-7y=10 and xy=-1$find the value of $9x^2+49y^2$

Simplify the following product

$\left(2x^4-4x^2+1\right)\left(2x^4-4x^2-1\right)$