What is factor ((3+h)^3-27)/h ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

factor

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

h^{2} + 9 h + 27

Solution steps

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

Factor

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

= \frac{h ( ( 3 + h ) ^{2} + 3 ( 3 + h ) + 9 )}{h}

Cancel the common factor:

h

= (h + 3)^{2} + 3 (h + 3) + 9

(h + 3)^{2} : h^{2} + 6 h + 9

= h^{2} + 6 h + 9 + 3 (h + 3) + 9

Expand

3 (h + 3) : 3 h + 9

= h^{2} + 6 h + 9 + 3 h + 9 + 9

Simplify

h^{2} + 6 h + 9 + 3 h + 9 + 9 : h^{2} + 9 h + 27

= h^{2} + 9 h + 27

+ (- 12)

s [R [J + n^{2} J] s + (x \cdot y)]

\frac{3 x - 9}{x ^{2} - 6 x + 9}

+ (- 11)

10 x^{2} + 17 + 6

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