Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x3−x4
Evaluate
(2−x)x3
Multiply the terms
x3(2−x)
Apply the distributive property
x3×2−x3×x
Use the commutative property to reorder the terms
2x3−x3×x
Solution
More Steps
Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
2x3−x4
Show Solution
Find the roots
x1=0,x2=2
Evaluate
(2−x)(x3)
To find the roots of the expression,set the expression equal to 0
(2−x)(x3)=0
Calculate
(2−x)x3=0
Multiply the terms
x3(2−x)=0
Separate the equation into 2 possible cases
x3=02−x=0
The only way a power can be 0 is when the base equals 0
x=02−x=0
Solve the equation
More Steps
Evaluate
2−x=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
Change the signs on both sides of the equation
x=2
x=0x=2
Solution
x1=0,x2=2
Show Solution