Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
m3−2m2+m
Evaluate
(m−1)(m2−m×1)
Any expression multiplied by 1 remains the same
(m−1)(m2−m)
Apply the distributive property
m×m2−m×m−m2−(−m)
Multiply the terms
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Evaluate
m×m2
Use the product rule an×am=an+m to simplify the expression
m1+2
Add the numbers
m3
m3−m×m−m2−(−m)
Multiply the terms
m3−m2−m2−(−m)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
m3−m2−m2+m
Solution
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Evaluate
−m2−m2
Collect like terms by calculating the sum or difference of their coefficients
(−1−1)m2
Subtract the numbers
−2m2
m3−2m2+m
Show Solution
Factor the expression
m(m−1)2
Evaluate
(m−1)(m2−m×1)
Any expression multiplied by 1 remains the same
(m−1)(m2−m)
Factor the expression
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Evaluate
m2−m
Rewrite the expression
m×m−m
Factor out m from the expression
m(m−1)
(m−1)m(m−1)
Solution
m(m−1)2
Show Solution
Find the roots
m1=0,m2=1
Evaluate
(m−1)(m2−m×1)
To find the roots of the expression,set the expression equal to 0
(m−1)(m2−m×1)=0
Any expression multiplied by 1 remains the same
(m−1)(m2−m)=0
Separate the equation into 2 possible cases
m−1=0m2−m=0
Solve the equation
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Evaluate
m−1=0
Move the constant to the right-hand side and change its sign
m=0+1
Removing 0 doesn't change the value,so remove it from the expression
m=1
m=1m2−m=0
Solve the equation
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Evaluate
m2−m=0
Factor the expression
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Evaluate
m2−m
Rewrite the expression
m×m−m
Factor out m from the expression
m(m−1)
m(m−1)=0
When the product of factors equals 0,at least one factor is 0
m=0m−1=0
Solve the equation for m
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Evaluate
m−1=0
Move the constant to the right-hand side and change its sign
m=0+1
Removing 0 doesn't change the value,so remove it from the expression
m=1
m=0m=1
m=1m=0m=1
Find the union
m=0m=1
Solution
m1=0,m2=1
Show Solution