Question
Simplify the expression
n3−2n2
Evaluate
(n−2)n2
Multiply the terms
n2(n−2)
Apply the distributive property
n2×n−n2×2
Multiply the terms
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Evaluate
n2×n
Use the product rule an×am=an+m to simplify the expression
n2+1
Add the numbers
n3
n3−n2×2
Solution
n3−2n2
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Find the roots
n1=0,n2=2
Evaluate
(n−2)(n2)
To find the roots of the expression,set the expression equal to 0
(n−2)(n2)=0
Calculate
(n−2)n2=0
Multiply the terms
n2(n−2)=0
Separate the equation into 2 possible cases
n2=0n−2=0
The only way a power can be 0 is when the base equals 0
n=0n−2=0
Solve the equation
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Evaluate
n−2=0
Move the constant to the right-hand side and change its sign
n=0+2
Removing 0 doesn't change the value,so remove it from the expression
n=2
n=0n=2
Solution
n1=0,n2=2
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