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

The solution to expand (a-b)(a^2-2ab+b^2)(a+b) is a^4-2a^3b+a^2b^2-b^2a^2+2ab^3-b^4

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

expand

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

a^{4} - 2 a^{3} b + a^{2} b^{2} - b^{2} a^{2} + 2 a b^{3} - b^{4}

Solution steps

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

Apply Difference of Two Squares

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

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

Distribute parentheses

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

Simplify

a^{2} a^{2} + a^{2} (- 2 ab) + a^{2} b^{2} - b^{2} a^{2} - b^{2} (- 2 ab) - b^{2} b^{2} : a^{4} - 2 a^{3} b + a^{2} b^{2} - b^{2} a^{2} + 2 a b^{3} - b^{4}

= a^{4} - 2 a^{3} b + a^{2} b^{2} - b^{2} a^{2} + 2 a b^{3} - b^{4}

\frac{3}{63}

8 \div \frac{7}{6}

2 \cdot 30

2 (2 + 1)^{3}

- (6 - 4 p)

What is expand (a-b)(a^2-2ab+b^2)(a+b) ?
The solution to expand (a-b)(a^2-2ab+b^2)(a+b) is a^4-2a^3b+a^2b^2-b^2a^2+2ab^3-b^4