What is factor a^3-a^2b+ab^2-b^3 ?

The solution to factor a^3-a^2b+ab^2-b^3 is (a-b)(a^2+b^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor a^3-a^2b+ab^2-b^3

factor

a^{3} - a^{2} b + a b^{2} - b^{3}

(a - b) (a^{2} + b^{2})

Solution steps

a^{3} - a^{2} b + a b^{2} - b^{3}

= (a^{3} - a^{2} b) + (a b^{2} - b^{3})

Factor out

a^{2}

from

a^{3} - a^{2} b : a^{2} (a - b)

Factor out

b^{2}

from

a b^{2} - b^{3} : b^{2} (a - b)

= a^{2} (a - b) + b^{2} (a - b)

Factor out common term

a - b

= (a - b) (a^{2} + b^{2})

\frac{1}{3} \cdot \frac{4}{3}

\frac{3 !}{2 !}

5^{11}

\frac{x - 9}{2} > 1

165

What is factor a^3-a^2b+ab^2-b^3 ?
The solution to factor a^3-a^2b+ab^2-b^3 is (a-b)(a^2+b^2)