#### Question

Divide as directed 20(*y* + 4) (*y*^{2} + 5*y* + 3) ÷ 5(*y* + 4)

#### Solution

20(*y* + 4) (*y*^{2} + 5*y* + 3) = 2 × 2 × 5 × (*y* + 4) (*y*^{2} + 5*y* + 3)

20(*y* + 4) (*y*^{2} + 5*y* + 3) ÷ 5(*y* + 4) = `(2 xx 2 xx 5 xx (y + 4) xx (y^2 + 5y + 3))/(5xx(y+4))`

` = 4(y^2 + 5y + 3)`

Is there an error in this question or solution?

Solution Divide as Directed 20(Y + 4) (Ysquare2 + 5y + 3) ÷ 5(Y + 4) Concept: Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial).