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Popular >

simplify ((3+h)^3-27)/h

Solution

simplify

\frac{( 3 + h ) ^{3} - 27}{h}

Solution

h^{2} + 9 h + 27

Solution steps

\frac{( 3 + h ) ^{3} - 27}{h}

Expand

(3 + h)^{3} - 27 : h^{3} + 9 h^{2} + 27 h

= \frac{h ^{3} + 9 h ^{2} + 27 h}{h}

Factor

h^{3} + 9 h^{2} + 27 h : h (h^{2} + 9 h + 27)

= \frac{h ( h ^{2} + 9 h + 27 )}{h}

Cancel the common factor:

h

= h^{2} + 9 h + 27

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Frequently Asked Questions (FAQ)

What is ((3+h)^3-27)/h ?
The solution to ((3+h)^3-27)/h is h^2+9h+27