Question
Simplify the expression
nm5−n2m4
Evaluate
(m2−mn)(nm×m2)
Remove the parentheses
(m2−mn)nm×m2
Multiply the terms with the same base by adding their exponents
(m2−mn)nm1+2
Add the numbers
(m2−mn)nm3
Multiply the terms
nm3(m2−mn)
Apply the distributive property
nm3×m2−nm3×mn
Multiply the terms
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Evaluate
m3×m2
Use the product rule an×am=an+m to simplify the expression
m3+2
Add the numbers
m5
nm5−nm3×mn
Solution
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Evaluate
nm3×mn
Multiply the terms
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Evaluate
m3×m
Use the product rule an×am=an+m to simplify the expression
m3+1
Add the numbers
m4
nm4n
Multiply the terms
n2m4
nm5−n2m4
Show Solution

Factor the expression
nm4(m−n)
Evaluate
(m2−mn)(nm×m2)
Remove the parentheses
(m2−mn)nm×m2
Multiply
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Multiply the terms
nm×m2
Multiply the terms with the same base by adding their exponents
nm1+2
Add the numbers
nm3
(m2−mn)nm3
Multiply the terms
nm3(m2−mn)
Factor the expression
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Evaluate
m2−mn
Rewrite the expression
m×m−mn
Factor out m from the expression
m(m−n)
nm3×m(m−n)
Solution
nm4(m−n)
Show Solution
