Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
n3−5n2
Evaluate
n×n(n−5)
Multiply the terms
n2(n−5)
Apply the distributive property
n2×n−n2×5
Multiply the terms
More Steps
Evaluate
n2×n
Use the product rule an×am=an+m to simplify the expression
n2+1
Add the numbers
n3
n3−n2×5
Solution
n3−5n2
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Find the roots
n1=0,n2=5
Evaluate
n×n(n−5)
To find the roots of the expression,set the expression equal to 0
n×n(n−5)=0
Multiply the terms
n2(n−5)=0
Separate the equation into 2 possible cases
n2=0n−5=0
The only way a power can be 0 is when the base equals 0
n=0n−5=0
Solve the equation
More Steps
Evaluate
n−5=0
Move the constant to the right-hand side and change its sign
n=0+5
Removing 0 doesn't change the value,so remove it from the expression
n=5
n=0n=5
Solution
n1=0,n2=5
Show Solution