Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
n2−2n
Evaluate
2(2n−1)n
Subtract the terms
More Steps
Simplify
2n−1
Reduce fractions to a common denominator
2n−22
Write all numerators above the common denominator
2n−2
2×2n−2×n
Multiply the terms
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Multiply the terms
2×2n−2
Cancel out the common factor 2
1×(n−2)
Multiply the terms
n−2
(n−2)n
Multiply the terms
n(n−2)
Apply the distributive property
n×n−n×2
Multiply the terms
n2−n×2
Solution
n2−2n
Show Solution
Find the roots
n1=0,n2=2
Evaluate
2(2n−1)n
To find the roots of the expression,set the expression equal to 0
2(2n−1)n=0
Subtract the terms
More Steps
Simplify
2n−1
Reduce fractions to a common denominator
2n−22
Write all numerators above the common denominator
2n−2
2×2n−2×n=0
Multiply the terms
More Steps
Multiply the terms
2×2n−2×n
Multiply the terms
More Steps
Multiply the terms
2×2n−2
Cancel out the common factor 2
1×(n−2)
Multiply the terms
n−2
(n−2)n
Multiply the terms
n(n−2)
n(n−2)=0
Separate the equation into 2 possible cases
n=0n−2=0
Solve the equation
More Steps
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
Show Solution