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Popular >

simplify (2x^5+5x^3)/x

Solution

simplify

\frac{2 x ^{5} + 5 x ^{3}}{x}

Solution

x^{2} (2 x^{2} + 5)

Solution steps

\frac{2 x ^{5} + 5 x ^{3}}{x}

Factor

2 x^{5} + 5 x^{3} : x^{3} (2 x^{2} + 5)

= \frac{x ^{3} ( 2 x ^{2} + 5 )}{x}

Apply exponent rule:

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

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

= \frac{x x ^{2} ( 2 x ^{2} + 5 )}{x}

Cancel the common factor:

x

= x^{2} (2 x^{2} + 5)

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Frequently Asked Questions (FAQ)

What is (2x^5+5x^3)/x ?
The solution to (2x^5+5x^3)/x is x^2(2x^2+5)