Question

Divide
$(y^2+10y+24)÷(y+4)$

Answer 1

We have $\frac{(y^2+10y+24)}{(y+4)}$

$=\frac{(y^2+4y+6y+24)}{(y+4)}$ [On factorisation, $10y=4y+6y$]

$=\frac{\left[y\right(y+4)+6(y+4\left)\right]}{(y+4)}$

$=\frac{\left[\right(y+4\left)\right(y+6\left)\right]}{(y+4)}$

$=(y+6)$