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Popular >

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

Solution

factor

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

Solution

x^{2} + 3 x + 3

Solution steps

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

Factor

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

= \frac{x ( ( 1 + x ) ^{2} + 1 + x + 1 )}{x}

Cancel the common factor:

x

= (x + 1)^{2} + 1 + x + 1

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

= x^{2} + 2 x + 1 + 1 + x + 1

Simplify

x^{2} + 2 x + 1 + 1 + x + 1 : x^{2} + 3 x + 3

= x^{2} + 3 x + 3

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Frequently Asked Questions (FAQ)

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