Question

The algebraic expression which is obtained on addition of following algebraic expressions is :

$2,\frac{2y}{3}-\frac{5y^2}{3}+\frac{5y^3}{2},\frac{2y^2}{3}-\frac{y^3}{2}-\frac{y}{3},y^2-2y^3-\frac{y}{3}+4$.

• A. $2y$
• B. $0$
• C. $6$
• D. $y^3-y^2+y+4$

Answer 1

The correct option is C $6$

Sum of given algebric expressions

$=2+(\frac{2y}{3}-\frac{5y^2}{3}+\frac{5y^3}{2})+(\frac{2y^2}{3}-\frac{y^3}{2}-\frac{y}{3})+(y^2-2y^3-\frac{y}{3})+4$

Clubbing similar algebriac expressions :

$=6+(\frac{2y}{3}-\frac{y}{3}-\frac{y}{3})+(-\frac{5y^2}{3}+\frac{2y^2}{3}+y^2)+(\frac{5y^3}{2}-2y^3-\frac{y^3}{2})$

$=6+\left(\frac{2y-2y}{3}\right)+\left(\frac{-5y^2+2y^2+3y^2}{3}\right)+\left(\frac{5y^3-4y^3-y^3}{2}\right)$

$=6+0+0$

$=6$ is the correct answer.