Solve 2x ^ 2 + 9x + 4 / x + 4 | 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

$$2x^{2}+9x+4\div x+4$$

Evaluate

$2x^{2}+9x+4+\frac{4}{x}$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $2x^{2}+9x+4$ times $\frac{x}{x}$.

$$\frac{\left(2x^{2}+9x+4\right)x}{x}+\frac{4}{x}$$

Since $\frac{\left(2x^{2}+9x+4\right)x}{x}$ and $\frac{4}{x}$ have the same denominator, add them by adding their numerators.

$$\frac{\left(2x^{2}+9x+4\right)x+4}{x}$$

Do the multiplications in $\left(2x^{2}+9x+4\right)x+4$.

$$\frac{2x^{3}+9x^{2}+4x+4}{x}$$

Factor

$\frac{2x^{3}+9x^{2}+4x+4}{x}$