Solve a^2+4a+2/a-a-2/a

$$\frac { a ^ { 2 } + 4 a + 2 } { a } - a - \frac { 2 } { a }$$

Evaluate

$$4$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply a times \frac{a}{a}.

$$\frac{a^{2}+4a+2}{a}-\frac{aa}{a}-\frac{2}{a}$$

Since \frac{a^{2}+4a+2}{a} and \frac{aa}{a} have the same denominator, subtract them by subtracting their numerators.

$$\frac{a^{2}+4a+2-aa}{a}-\frac{2}{a}$$

Do the multiplications in a^{2}+4a+2-aa.

$$\frac{a^{2}+4a+2-a^{2}}{a}-\frac{2}{a}$$

Combine like terms in a^{2}+4a+2-a^{2}.

$$\frac{4a+2}{a}-\frac{2}{a}$$

Since \frac{4a+2}{a} and \frac{2}{a} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4a+2-2}{a}$$

Combine like terms in 4a+2-2.

$$\frac{4a}{a}$$

Cancel out a in both numerator and denominator.

$$4$$

Factor

$$2^{2}$$