What is expand (a-b)(b-c)(c-a) ?

The solution to expand (a-b)(b-c)(c-a) is -a^2b-ac^2+a^2c-b^2c+ab^2+bc^2

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expand (a-b)(b-c)(c-a)

expand

(a - b) (b - c) (c - a)

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

Solution steps

(a - b) (b - c) (c - a)

Expand

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

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

Distribute parentheses

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

Simplify

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

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

(- 12 + 6 i) - (- 11 + 3 i)

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

7 \cdot 10

4 x^{2} - 8 x + 32

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

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