Question
Simplify the expression
p4−p3c−p3b+p2bc−p3a+p2ac+p2ab−pabc
Evaluate
p(p−a)(p−b)(p−c)
Multiply the terms
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Evaluate
p(p−a)
Apply the distributive property
p×p−pa
Multiply the terms
p2−pa
(p2−pa)(p−b)(p−c)
Multiply the terms
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Evaluate
(p2−pa)(p−b)
Apply the distributive property
p2×p−p2b−pap−(−pab)
Multiply the terms
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Evaluate
p2×p
Use the product rule an×am=an+m to simplify the expression
p2+1
Add the numbers
p3
p3−p2b−pap−(−pab)
Multiply the terms
p3−p2b−p2a−(−pab)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
p3−p2b−p2a+pab
(p3−p2b−p2a+pab)(p−c)
Apply the distributive property
p3×p−p3c−p2bp−(−p2bc)−p2ap−(−p2ac)+pabp−pabc
Multiply the terms
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Evaluate
p3×p
Use the product rule an×am=an+m to simplify the expression
p3+1
Add the numbers
p4
p4−p3c−p2bp−(−p2bc)−p2ap−(−p2ac)+pabp−pabc
Multiply the terms
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Evaluate
p2×p
Use the product rule an×am=an+m to simplify the expression
p2+1
Add the numbers
p3
p4−p3c−p3b−(−p2bc)−p2ap−(−p2ac)+pabp−pabc
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
p4−p3c−p3b−(−p2bc)−p3a−(−p2ac)+pabp−pabc
Multiply the terms
p4−p3c−p3b−(−p2bc)−p3a−(−p2ac)+p2ab−pabc
Solution
p4−p3c−p3b+p2bc−p3a+p2ac+p2ab−pabc
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