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Popular >

simplify ((1+x)^3-1)/x

Solution

simplify

\frac{( 1 + x ) ^{3} - 1}{x}

Solution

x^{2} + 3 x + 3

Solution steps

\frac{( 1 + x ) ^{3} - 1}{x}

Expand

(1 + x)^{3} - 1 : x^{3} + 3 x^{2} + 3 x

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

Factor

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

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

Cancel the common factor:

x

= x^{2} + 3 x + 3

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Frequently Asked Questions (FAQ)

What is ((1+x)^3-1)/x ?
The solution to ((1+x)^3-1)/x is x^2+3x+3