Question
Simplify the expression
x3−x2c−x2b+xbc−ax2+axc+abx−abc
Evaluate
(x−a)(x−b)(x−c)
Multiply the terms
More Steps

Evaluate
(x−a)(x−b)
Apply the distributive property
x×x−xb−ax−(−ab)
Multiply the terms
x2−xb−ax−(−ab)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x2−xb−ax+ab
(x2−xb−ax+ab)(x−c)
Apply the distributive property
x2×x−x2c−xbx−(−xbc)−ax×x−(−axc)+abx−abc
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−x2c−xbx−(−xbc)−ax×x−(−axc)+abx−abc
Multiply the terms
x3−x2c−x2b−(−xbc)−ax×x−(−axc)+abx−abc
Multiply the terms
x3−x2c−x2b−(−xbc)−ax2−(−axc)+abx−abc
Solution
x3−x2c−x2b+xbc−ax2+axc+abx−abc
Show Solution
