R. D. Sharma Solutions for Chapter: Algebraic Expressions and Identities, Exercise 6: EXERCISE

Write the following square of binomial as trinomial:

$\left(\frac{x}{4}-\frac{y}{3}\right)$

"Note: This question given in the book seems to have errors and the modified question should be as given below."

${\left(\frac{x}{4}-\frac{y}{3}\right)}^2$

Write the following square of binomial as trinomial:

${\left(3x-\frac{1}{3x}\right)}^2$

If $x-\frac{1}{x}=3$, find the values of $x^2+\frac{1}{x^2}$ and $x^4+\frac{1}{x^4}$

If $x+\frac{1}{x}=12$, find the value of $x-\frac{1}{x}$

If $2x+3y=14$ and $2x-3y=2$, find the value of $xy$.

If $x^2+y^2=29$ and $xy=2$ find the value of $x^4+y^4$.

What must be added to the following expression to make it a whole square?

$4x^2-12x+7$

What must be added to the following expression to make it a whole square?

$4x^2-20x+20$