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Popular >

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

Solution

factor

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

Solution

h^{2} + 6 h + 12

Solution steps

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

Factor

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

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

Cancel the common factor:

h

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

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

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

Expand

2 (h + 2) : 2 h + 4

= h^{2} + 4 h + 4 + 2 h + 4 + 4

Simplify

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

= h^{2} + 6 h + 12

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Frequently Asked Questions (FAQ)

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