Question

factor 15y^2 + 10y - 40

Answer 1

Step 1: Write out the expression

$15y^2+10y-40$

Step 2: Factorize the expression

$\begin{gathered} 15y^2+10y-40=15y^2+30y-20y-40 \\ =15y(y+2)-20(y+2)=(15y-20)(y+2) \\ =5(3y-4)(y+2) \end{gathered}$

Hence, factorizing 15y^2 + 10y - 40​ gives 5(3y-4)(y+2)