What is factor ((9+h)^3-729)/h ?

The solution to factor ((9+h)^3-729)/h is h^2+27h+243

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factor ((9+h)^3-729)/h

factor

\frac{( 9 + h ) ^{3} - 729}{h}

h^{2} + 27 h + 243

Solution steps

\frac{( 9 + h ) ^{3} - 729}{h}

Factor

(9 + h)^{3} - 729 : h ((9 + h)^{2} + 9 (9 + h) + 81)

= \frac{h ( ( 9 + h ) ^{2} + 9 ( 9 + h ) + 81 )}{h}

Cancel the common factor:

h

= (h + 9)^{2} + 9 (h + 9) + 81

(h + 9)^{2} : h^{2} + 18 h + 81

= h^{2} + 18 h + 81 + 9 (h + 9) + 81

Expand

9 (h + 9) : 9 h + 81

= h^{2} + 18 h + 81 + 9 h + 81 + 81

Simplify

h^{2} + 18 h + 81 + 9 h + 81 + 81 : h^{2} + 27 h + 243

= h^{2} + 27 h + 243

0.25 - h^{2}

- (17)

[3 (a)^{2} - (a) + 4]^{2}

e^{5} x - e^{4} x

1 8^{2} + 9 x - 2

What is factor ((9+h)^3-729)/h ?
The solution to factor ((9+h)^3-729)/h is h^2+27h+243