Simplify (5x^3)/(7x^3+x^4)

$\frac{5 x^{3}}{7 x^{3} + x^{4}}$

Step 1

Factor $x^{3}$ out of $7 x^{3} + x^{4}$ .

Factor $x^{3}$ out of $7 x^{3}$ .

$\frac{5 x^{3}}{x^{3} \cdot 7 + x^{4}}$

Factor $x^{3}$ out of $x^{4}$ .

$\frac{5 x^{3}}{x^{3} \cdot 7 + x^{3} x}$

Factor $x^{3}$ out of $x^{3} \cdot 7 + x^{3} x$ .

$\frac{5 x^{3}}{x^{3} (7 + x)}$

$\frac{5 x^{3}}{x^{3} (7 + x)}$

Step 2

Cancel the common factor of $x^{3}$ .

Cancel the common factor.

$\frac{5 x^{3}}{x^{3} (7 + x)}$

Rewrite the expression.

$\frac{5}{7 + x}$

$\frac{5}{7 + x}$

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