Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−x2
Evaluate
(x×1)(x2−x×1)
Remove the parentheses
x×1×(x2−x×1)
Any expression multiplied by 1 remains the same
x×1×(x2−x)
Multiply the terms
x(x2−x)
Apply the distributive property
x×x2−x×x
Multiply the terms
More Steps
Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
x3−x×x
Solution
x3−x2
Show Solution
Factor the expression
x2(x−1)
Evaluate
(x×1)(x2−x×1)
Remove the parentheses
x×1×(x2−x×1)
Any expression multiplied by 1 remains the same
x×1×(x2−x)
Any expression multiplied by 1 remains the same
x(x2−x)
Factor the expression
More Steps
Evaluate
x2−x
Rewrite the expression
x×x−x
Factor out x from the expression
x(x−1)
x×x(x−1)
Solution
x2(x−1)
Show Solution
Find the roots
x1=0,x2=1
Evaluate
(x×1)(x2−x×1)
To find the roots of the expression,set the expression equal to 0
(x×1)(x2−x×1)=0
Any expression multiplied by 1 remains the same
x(x2−x×1)=0
Any expression multiplied by 1 remains the same
x(x2−x)=0
Separate the equation into 2 possible cases
x=0x2−x=0
Solve the equation
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Evaluate
x2−x=0
Factor the expression
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Evaluate
x2−x
Rewrite the expression
x×x−x
Factor out x from the expression
x(x−1)
x(x−1)=0
When the product of factors equals 0,at least one factor is 0
x=0x−1=0
Solve the equation for x
More Steps
Evaluate
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
x=0x=0x=1
Find the union
x=0x=1
Solution
x1=0,x2=1
Show Solution