Question

Find the expression equivalent to $\frac{1}{2}{y}^2(6x+2y+12x-2y)$.

• A. $9x{y}^2$
• B. $18xy$
• C. $3x{y}^2+12x$
• D. $9x{y}^2-2y^3$
• E. $3x{y}^2+12x-y^3-2y$

Answer 1

The correct option is A $9x{y}^2$

The expression can be written as, $\frac{1}{2}{y}^2(6x+2y+12x-2y)$

$\Rightarrow \frac{1}{2}{y}^2\times 6x+\frac{1}{2}{y}^2\times 2y+\frac{1}{2}{y}^2\times 12x-\frac{1}{2}{y}^2\times 2y$

$\Rightarrow 3x{y}^2+y^3+6x{y}^2-y^3$

$\Rightarrow 9x{y}^2$