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Popular >

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

Solution

simplify

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

Solution

x (2 x^{2} + 5)

Solution steps

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

Join

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

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Apply exponent rule:

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

x^{2} = xx

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

Cancel the common factor:

x

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

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Frequently Asked Questions (FAQ)

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