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Popular >

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

Solution

simplify

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

Solution

\frac{x + 5}{2 x}

Solution steps

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

Factor

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

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

Apply exponent rule:

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

x^{2} = xx

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

Cancel the common factor:

x

= \frac{x + 5}{2 x}

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Frequently Asked Questions (FAQ)

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