Question

Factorise the expressions and divide them as directed.
$(y^2+7y+10)÷(y+5)$
[3 marks]

Answer 1

$(y^2+7y+10)=y^2+2y+5y+10$
[1 mark]

$=y(y+2)+5(y+2)$
[0.5 mark]

$=(y+2)(y+5)$
[0.5 mark]

Now,
$(y^2+7y+10)÷(y+5)=\frac{(y+5)(y+2)}{(y+5)}=y+2$
[1 mark]