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Popular >

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

Solution

simplify

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

Solution

h^{2} + 6 h + 12

Solution steps

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

Expand

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

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

Factor

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

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

Cancel the common factor:

h

= h^{2} + 6 h + 12

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Frequently Asked Questions (FAQ)

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