Algebra
Calculus
Trigonometry
Matrix
Question
x(x−1)2
Simplify the expression
x3−2x2+x
Evaluate
x(x−1)2
Expand the expression
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Evaluate
(x−1)2
Use (a−b)2=a2−2ab+b2 to expand the expression
x2−2x×1+12
Calculate
x2−2x+1
x(x2−2x+1)
Apply the distributive property
x×x2−x×2x+x×1
Multiply the terms
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
x3−x×2x+x×1
Multiply the terms
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Evaluate
x×2x
Use the commutative property to reorder the terms
2x×x
Multiply the terms
2x2
x3−2x2+x×1
Solution
x3−2x2+x
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Find the roots
x1=0,x2=1
Evaluate
x(x−1)2
To find the roots of the expression,set the expression equal to 0
x(x−1)2=0
Separate the equation into 2 possible cases
x=0(x−1)2=0
Solve the equation
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Evaluate
(x−1)2=0
The only way a power can be 0 is when the base equals 0
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=0x=1
Solution
x1=0,x2=1
Show Solution