Question

Divide $20a^2-15ab+45a$ by $5a$

Answer 1

Division of algebraic expression

Division of a polynomial by a monomial: Divide each term of the polynomial by the monomial.

$20a^2-15ab+45a$ by $5a$

$=\frac{20a^2-15ab+45a}{5a}$

$$\begin{gathered} =\frac{20a^2}{5a}-\frac{15ab}{5a}+\frac{45a}{5a} \\ =4a-3b+9 \end{gathered}$$

Therefore, the result is $4a-3b+9$.