Question

factorize the expressions and divide them: (1) (y²+7y+10) ÷ (y+5)

Answer 1

y^2+7y+10 = y^2+5y+2y+10 = y(y+5)+2(y+5) = (y+5)(y+2) (y+5)(y+2)/(y+5) =y+2

Answer 2

(y²+7y+10)÷(y+5)
(y²+5y+2y+10)÷(y+5)
y(y+5)+2(y+5)÷(y+5)
(y+2)(y+5)/(y+5)
y+2
therefore it is factorised