Solve (x)^(2)+7x+12\divx+3 | 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

$${ x }^{ 2 } +7x+12 \div x+3$$

Evaluate

$x^{2}+7x+3+\frac{12}{x}$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $x^{2}+7x+3$ times $\frac{x}{x}$.

$$\frac{\left(x^{2}+7x+3\right)x}{x}+\frac{12}{x}$$

Since $\frac{\left(x^{2}+7x+3\right)x}{x}$ and $\frac{12}{x}$ have the same denominator, add them by adding their numerators.

$$\frac{\left(x^{2}+7x+3\right)x+12}{x}$$

Do the multiplications in $\left(x^{2}+7x+3\right)x+12$.

$$\frac{x^{3}+7x^{2}+3x+12}{x}$$

Factor

$\frac{x^{3}+7x^{2}+3x+12}{x}$