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