Solve 3(a-b)(b-c)(c-a)

Evaluate

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

Multiply the terms

(3 a - 3 b) (b - c) (c - a)

Multiply the terms

More Steps

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

Apply the distributive property

3 ab c - 3 aba - 3 a c \times c - (- 3 a c a) - 3 b^{2} c - (- 3 b^{2} a) + 3 b c \times c - 3 b c a

Multiply the terms

3 ab c - 3 a^{2} b - 3 a c \times c - (- 3 a c a) - 3 b^{2} c - (- 3 b^{2} a) + 3 b c \times c - 3 b c a

Multiply the terms

3 ab c - 3 a^{2} b - 3 a c^{2} - (- 3 a c a) - 3 b^{2} c - (- 3 b^{2} a) + 3 b c \times c - 3 b c a

Multiply the terms

3 ab c - 3 a^{2} b - 3 a c^{2} - (- 3 a^{2} c) - 3 b^{2} c - (- 3 b^{2} a) + 3 b c \times c - 3 b c a

Multiply the terms

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

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

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

Subtract the terms

More Steps

0 - 3 a^{2} b - 3 a c^{2} + 3 a^{2} c - 3 b^{2} c + 3 b^{2} a + 3 b c^{2}

Solution

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

Simplify the expression