#### Question

Factorise the expressions and divide them as directed.

(*y*^{2} + 7*y* + 10) ÷ (*y* + 5)

#### Solution

(*y*^{2} + 7*y* + 10) = *y*^{2} + 2*y* + 5*y* + 10

= *y* (*y* + 2) + 5 (*y* + 2)

= (*y* + 2) (*y* + 5)

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

Is there an error in this question or solution?

Solution Factorise the Expressions and Divide Them as Directed. (Ysquare2 + 7y + 10) ÷ (Y + 5) Concept: Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial).