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Popular >

simplify ((2+x)^3-8)/x

Solution

simplify

\frac{( 2 + x ) ^{3} - 8}{x}

Solution

x^{2} + 6 x + 12

Solution steps

\frac{( 2 + x ) ^{3} - 8}{x}

Expand

(2 + x)^{3} - 8 : x^{3} + 6 x^{2} + 12 x

= \frac{x ^{3} + 6 x ^{2} + 12 x}{x}

Factor

x^{3} + 6 x^{2} + 12 x : x (x^{2} + 6 x + 12)

= \frac{x ( x ^{2} + 6 x + 12 )}{x}

Cancel the common factor:

x

= x^{2} + 6 x + 12

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Frequently Asked Questions (FAQ)

What is ((2+x)^3-8)/x ?
The solution to ((2+x)^3-8)/x is x^2+6x+12