Question
2(n−3)nn
Simplify the expression
2n3−3n2
Evaluate
2(n−3)nn
Multiply the terms
2n(n−3)n
Multiply the terms
2n(n−3)n
Multiply the terms
2n2(n−3)
Solution
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Evaluate
n2(n−3)
Apply the distributive property
n2×n−n2×3
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−n2×3
Use the commutative property to reorder the terms
n3−3n2
2n3−3n2
Show Solution

Find the roots
n1=0,n2=3
Evaluate
2(n−3)nn
To find the roots of the expression,set the expression equal to 0
2(n−3)nn=0
Multiply the terms
2n(n−3)n=0
Multiply the terms
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Multiply the terms
2n(n−3)n
Multiply the terms
2n(n−3)n
Multiply the terms
2n2(n−3)
2n2(n−3)=0
Simplify
n2(n−3)=0
Separate the equation into 2 possible cases
n2=0n−3=0
The only way a power can be 0 is when the base equals 0
n=0n−3=0
Solve the equation
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Evaluate
n−3=0
Move the constant to the right-hand side and change its sign
n=0+3
Removing 0 doesn't change the value,so remove it from the expression
n=3
n=0n=3
Solution
n1=0,n2=3
Show Solution
