Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x5−2x4
Evaluate
x×x3(x−2)
Multiply the terms with the same base by adding their exponents
x1+3(x−2)
Add the numbers
x4(x−2)
Apply the distributive property
x4×x−x4×2
Multiply the terms
More Steps
Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
x5−x4×2
Solution
x5−2x4
Show Solution
Find the roots
x1=0,x2=2
Evaluate
x(x3)(x−2)
To find the roots of the expression,set the expression equal to 0
x(x3)(x−2)=0
Calculate
x×x3(x−2)=0
Multiply
More Steps
Multiply the terms
x×x3(x−2)
Multiply the terms with the same base by adding their exponents
x1+3(x−2)
Add the numbers
x4(x−2)
x4(x−2)=0
Separate the equation into 2 possible cases
x4=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