Question
Simplify the expression
p3−p2c−p2b+pbc−ap2+apc+abp−abc
Evaluate
(p−a)(p−b)(p−c)
Multiply the terms
More Steps

Evaluate
(p−a)(p−b)
Apply the distributive property
p×p−pb−ap−(−ab)
Multiply the terms
p2−pb−ap−(−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
p2−pb−ap+ab
(p2−pb−ap+ab)(p−c)
Apply the distributive property
p2×p−p2c−pbp−(−pbc)−ap×p−(−apc)+abp−abc
Multiply the terms
More Steps

Evaluate
p2×p
Use the product rule an×am=an+m to simplify the expression
p2+1
Add the numbers
p3
p3−p2c−pbp−(−pbc)−ap×p−(−apc)+abp−abc
Multiply the terms
p3−p2c−p2b−(−pbc)−ap×p−(−apc)+abp−abc
Multiply the terms
p3−p2c−p2b−(−pbc)−ap2−(−apc)+abp−abc
Solution
p3−p2c−p2b+pbc−ap2+apc+abp−abc
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