Question
Simplify the expression
2x3−x2
Evaluate
(x2×1)(2x−1)
Remove the parentheses
x2×1×(2x−1)
Multiply the terms
x2(2x−1)
Apply the distributive property
x2×2x−x2×1
Multiply the terms
More Steps

Evaluate
x2×2x
Use the commutative property to reorder the terms
2x2×x
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
2x3
2x3−x2×1
Solution
2x3−x2
Show Solution

Find the roots
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Evaluate
(x2×1)(2x−1)
To find the roots of the expression,set the expression equal to 0
(x2×1)(2x−1)=0
Any expression multiplied by 1 remains the same
x2(2x−1)=0
Separate the equation into 2 possible cases
x2=02x−1=0
The only way a power can be 0 is when the base equals 0
x=02x−1=0
Solve the equation
More Steps

Evaluate
2x−1=0
Move the constant to the right-hand side and change its sign
2x=0+1
Removing 0 doesn't change the value,so remove it from the expression
2x=1
Divide both sides
22x=21
Divide the numbers
x=21
x=0x=21
Solution
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Show Solution
