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

Evaluate

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

Multiply the terms

More Steps

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

Apply the distributive property

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

Multiply the terms

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

Multiply the terms

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

Multiply the terms

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

Multiply the terms

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

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

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

Add the terms

More Steps

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

Solution

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

Simplify the expression