Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x5−x4
Evaluate
(x−1)x4
Multiply the terms
x4(x−1)
Apply the distributive property
x4×x−x4×1
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−x4×1
Solution
x5−x4
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Find the roots
x1=0,x2=1
Evaluate
(x−1)(x4)
To find the roots of the expression,set the expression equal to 0
(x−1)(x4)=0
Calculate
(x−1)x4=0
Multiply the terms
x4(x−1)=0
Separate the equation into 2 possible cases
x4=0x−1=0
The only way a power can be 0 is when the base equals 0
x=0x−1=0
Solve the equation
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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
Solution
x1=0,x2=1
Show Solution