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

Evaluate

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

Multiply the terms

More Steps

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

Apply the distributive property

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

Multiply the terms

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

Multiply the terms

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

Multiply the terms

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

Multiply the terms

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

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

Subtract the terms

More Steps

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

Solution

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

Simplify the expression