Solve 3a+9/3a12a^3/a+5

$$\frac{ 3a+9 }{ 3a } \frac{ 12 { a }^{ 3 } }{ a+5 }$$

Evaluate

$$\frac{12\left(a+3\right)a^{2}}{a+5}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{3a+9}{3a}.

$$\frac{3\left(a+3\right)}{3a}\times \frac{12a^{3}}{a+5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{a+3}{a}\times \frac{12a^{3}}{a+5}$$

Multiply \frac{a+3}{a} times \frac{12a^{3}}{a+5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(a+3\right)\times 12a^{3}}{a\left(a+5\right)}$$

Cancel out a in both numerator and denominator.

$$\frac{12\left(a+3\right)a^{2}}{a+5}$$

Use the distributive property to multiply 12 by a+3.

$$\frac{\left(12a+36\right)a^{2}}{a+5}$$

Use the distributive property to multiply 12a+36 by a^{2}.

$$\frac{12a^{3}+36a^{2}}{a+5}$$

Expand

$$\frac{12\left(a^{3}+3a^{2}\right)}{a+5}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{3a+9}{3a}.

$$\frac{3\left(a+3\right)}{3a}\times \frac{12a^{3}}{a+5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{a+3}{a}\times \frac{12a^{3}}{a+5}$$

Multiply \frac{a+3}{a} times \frac{12a^{3}}{a+5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(a+3\right)\times 12a^{3}}{a\left(a+5\right)}$$

Cancel out a in both numerator and denominator.

$$\frac{12\left(a+3\right)a^{2}}{a+5}$$

Use the distributive property to multiply 12 by a+3.

$$\frac{\left(12a+36\right)a^{2}}{a+5}$$

Use the distributive property to multiply 12a+36 by a^{2}.

$$\frac{12a^{3}+36a^{2}}{a+5}$$