Question

Perform division:
$(y^2+7y+10)÷6(y+5)$.

Answer 1

$y^2+7y+10$

$=y^2+5y+2y+10$

$=y(y+5)+2(y+5)$

$=(y+2)(y+5)$

Now,

$(y^2+7y+10)÷6(y+5)$

$=\frac{y^2+7y+10}{6(y+5)}$

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

$=\frac{(y+2)}{6}$

$=\frac{1}{6}(y+2)$