Solve x(x+4)2/x+4/x+4

$$x ( x + 4 ) \frac { 2 } { x } + \frac { 4 } { x + 4 }$$

Evaluate

$$\frac{2\left(x^{2}+8x+18\right)}{x+4}$$

Short Solution Steps

Cancel out x and x.

$$2\left(x+4\right)+\frac{4}{x+4}$$

Use the distributive property to multiply 2 by x+4.

$$2x+8+\frac{4}{x+4}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2x+8 times \frac{x+4}{x+4}.

$$\frac{\left(2x+8\right)\left(x+4\right)}{x+4}+\frac{4}{x+4}$$

Since \frac{\left(2x+8\right)\left(x+4\right)}{x+4} and \frac{4}{x+4} have the same denominator, add them by adding their numerators.

$$\frac{\left(2x+8\right)\left(x+4\right)+4}{x+4}$$

Do the multiplications in \left(2x+8\right)\left(x+4\right)+4.

$$\frac{2x^{2}+8x+8x+32+4}{x+4}$$

Combine like terms in 2x^{2}+8x+8x+32+4.

$$\frac{2x^{2}+16x+36}{x+4}$$

Expand

$$\frac{2\left(x^{2}+8x+18\right)}{x+4}$$

Short Solution Steps

Cancel out x and x.

$$2\left(x+4\right)+\frac{4}{x+4}$$

Use the distributive property to multiply 2 by x+4.

$$2x+8+\frac{4}{x+4}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2x+8 times \frac{x+4}{x+4}.

$$\frac{\left(2x+8\right)\left(x+4\right)}{x+4}+\frac{4}{x+4}$$

Since \frac{\left(2x+8\right)\left(x+4\right)}{x+4} and \frac{4}{x+4} have the same denominator, add them by adding their numerators.

$$\frac{\left(2x+8\right)\left(x+4\right)+4}{x+4}$$

Do the multiplications in \left(2x+8\right)\left(x+4\right)+4.

$$\frac{2x^{2}+8x+8x+32+4}{x+4}$$

Combine like terms in 2x^{2}+8x+8x+32+4.

$$\frac{2x^{2}+16x+36}{x+4}$$