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Popular >

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

Solution

expand

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

Solution

x^{2} + 6 x + 12

Solution steps

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

Factor

(x + 2)^{3} - 8 : x ((x + 2)^{2} + 2 (x + 2) + 4)

= \frac{x ( ( x + 2 ) ^{2} + 2 ( x + 2 ) + 4 )}{x}

Cancel the common factor:

x

= (x + 2)^{2} + 2 (x + 2) + 4

(x + 2)^{2} : x^{2} + 4 x + 4

= x^{2} + 4 x + 4 + 2 (x + 2) + 4

Expand

2 (x + 2) : 2 x + 4

= x^{2} + 4 x + 4 + 2 x + 4 + 4

Simplify

x^{2} + 4 x + 4 + 2 x + 4 + 4 : x^{2} + 6 x + 12

= x^{2} + 6 x + 12

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Frequently Asked Questions (FAQ)

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