R. D. Sharma Solutions for Chapter: Algebraic Identities, Exercise 3: EXERCISE

Evaluate the following: 

${111}^3-{89}^3$

Evaluate the following: 

 ${46}^3+{34}^3$

Evaluate the following: 

 ${104}^3+{96}^3$

Evaluate the following: 

 ${93}^3-{107}^3$

Find the value of $27x^3+8y^3$, if $3x+2y=14$ and $xy=8$.

Find the value of $27x^3+8y^3$, if $3x+2y=20$ and $xy=\frac{14}{9}$.

Find the value of $64x^3-125z^3$, if $4x-5z=16$ and $xz=12$.

If $x^4+\frac{1}{x^4}=119,$ find the value of $x^3-\frac{1}{x^3}$.