Solve a-1/3a5/6aa+2/a^2=

$$\frac { a - 1 } { 3 a } \frac { 5 } { 6 a } \frac { a + 2 } { a ^ { 2 } } =$$

Evaluate

$$\frac{5\left(a-1\right)\left(a+2\right)}{18a^{4}}$$

Short Solution Steps

Multiply \frac{a-1}{3a} times \frac{5}{6a} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(a-1\right)\times 5}{3a\times 6a}\times \frac{a+2}{a^{2}}$$

Multiply \frac{\left(a-1\right)\times 5}{3a\times 6a} times \frac{a+2}{a^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(a-1\right)\times 5\left(a+2\right)}{3a\times 6aa^{2}}$$

Multiply a and a to get a^{2}.

$$\frac{\left(a-1\right)\times 5\left(a+2\right)}{3a^{2}\times 6a^{2}}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{\left(a-1\right)\times 5\left(a+2\right)}{3a^{4}\times 6}$$

Multiply 3 and 6 to get 18.

$$\frac{\left(a-1\right)\times 5\left(a+2\right)}{18a^{4}}$$

Use the distributive property to multiply a-1 by 5.

$$\frac{\left(5a-5\right)\left(a+2\right)}{18a^{4}}$$

Use the distributive property to multiply 5a-5 by a+2 and combine like terms.

$$\frac{5a^{2}+5a-10}{18a^{4}}$$

Expand

$$\frac{5\left(a^{2}+a-2\right)}{18a^{4}}$$

Short Solution Steps

Multiply \frac{a-1}{3a} times \frac{5}{6a} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(a-1\right)\times 5}{3a\times 6a}\times \frac{a+2}{a^{2}}$$

Multiply \frac{\left(a-1\right)\times 5}{3a\times 6a} times \frac{a+2}{a^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(a-1\right)\times 5\left(a+2\right)}{3a\times 6aa^{2}}$$

Multiply a and a to get a^{2}.

$$\frac{\left(a-1\right)\times 5\left(a+2\right)}{3a^{2}\times 6a^{2}}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{\left(a-1\right)\times 5\left(a+2\right)}{3a^{4}\times 6}$$

Multiply 3 and 6 to get 18.

$$\frac{\left(a-1\right)\times 5\left(a+2\right)}{18a^{4}}$$

Use the distributive property to multiply a-1 by 5.

$$\frac{\left(5a-5\right)\left(a+2\right)}{18a^{4}}$$

Use the distributive property to multiply 5a-5 by a+2 and combine like terms.

$$\frac{5a^{2}+5a-10}{18a^{4}}$$