What is expand (a-b)(a^2-ab+b^2) ?

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

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expand (a-b)(a^2-ab+b^2)

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

(0.8) (6.16)

24 x y^{8}

(x - 2) (x^{2} - 2 x + 4)

(2 x^{- 3} y^{- 4}) (6 x^{- 4} y^{7})

\frac{1}{7} + \frac{1}{4}

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