Question

The factorisation of $2y^3+10y^2-48y$ is ____.

• A. $2y(y-3)(y+8)$
• B. $2y(y+3)(y+8)$
• C. $2y(y-3)(y-8)$
• D. $2y(y+3)(y-8)$

Answer 1

The correct option is A $2y(y-3)(y+8)$

$2y^3+10y^2-48y$
on taking ${}^{\prime }2y^{\prime }$common from all the terms;
$=2y(y^2+5y-24)$
Now, using the method of middle term splitting;
$=2y(y^2+8y-3y-24)$
$=2y\left[y\right(y+8)-3(y+8\left)\right]$
$=2y(y-3)(y+8)$