en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (2+h)^3+8

Solution

factor

(2 + h)^{3} + 8

Solution

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

Solution steps

(2 + h)^{3} + 8

Rewrite

8

as

2^{3}

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

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

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

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

Refine

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

Expand

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

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

Popular Examples

factor e^{-st-5t}factor

e^{- s t - 5 t}

factor 96^2-30ba^2+25a^4 factor

9 6^{2} - 30 b a^{2} + 25 a^{4}

factor-(sqrt(3))factor

- (3)

simplify x*(-1.7)simplify

x \cdot (- 1.7)

factor ab+ab factor

ab + ab

Frequently Asked Questions (FAQ)

What is factor (2+h)^3+8 ?
The solution to factor (2+h)^3+8 is (h+4)(h^2+2h+4)