Solve x ^ 2 + 8x + 15 / x + 5 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$x ^ { 2 } + 8 x + 15 \div x + 5$$

Evaluate

$x^{2}+8x+5+\frac{15}{x}$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $x^{2}+8x+5$ times $\frac{x}{x}$.

$$\frac{\left(x^{2}+8x+5\right)x}{x}+\frac{15}{x}$$

Since $\frac{\left(x^{2}+8x+5\right)x}{x}$ and $\frac{15}{x}$ have the same denominator, add them by adding their numerators.

$$\frac{\left(x^{2}+8x+5\right)x+15}{x}$$

Do the multiplications in $\left(x^{2}+8x+5\right)x+15$.

$$\frac{x^{3}+8x^{2}+5x+15}{x}$$

Factor

$\frac{x^{3}+8x^{2}+5x+15}{x}$