Question
Simplify the expression
4m4−6m3
Evaluate
(2m−3)×2m3
Multiply the terms
2m3(2m−3)
Apply the distributive property
2m3×2m−2m3×3
Multiply the terms
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Evaluate
2m3×2m
Multiply the numbers
4m3×m
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
4m4
4m4−2m3×3
Solution
4m4−6m3
Show Solution

Find the roots
m1=0,m2=23
Alternative Form
m1=0,m2=1.5
Evaluate
(2m−3)(2m3)
To find the roots of the expression,set the expression equal to 0
(2m−3)(2m3)=0
Multiply the terms
(2m−3)×2m3=0
Multiply the terms
2m3(2m−3)=0
Elimination the left coefficient
m3(2m−3)=0
Separate the equation into 2 possible cases
m3=02m−3=0
The only way a power can be 0 is when the base equals 0
m=02m−3=0
Solve the equation
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Evaluate
2m−3=0
Move the constant to the right-hand side and change its sign
2m=0+3
Removing 0 doesn't change the value,so remove it from the expression
2m=3
Divide both sides
22m=23
Divide the numbers
m=23
m=0m=23
Solution
m1=0,m2=23
Alternative Form
m1=0,m2=1.5
Show Solution
