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Popular >

simplify (x^3+7x^2)/(x^3)

Solution

simplify

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

Solution

\frac{x + 7}{x}

Solution steps

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

Factor

x^{3} + 7 x^{2} : x^{2} (x + 7)

= \frac{x ^{2} ( x + 7 )}{x ^{3}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{3} = x^{2} x

= \frac{x ^{2} ( x + 7 )}{x ^{2} x}

Cancel the common factor:

x^{2}

= \frac{x + 7}{x}

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Frequently Asked Questions (FAQ)

What is (x^3+7x^2)/(x^3) ?
The solution to (x^3+7x^2)/(x^3) is (x+7)/x