Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x6−2x5
Evaluate
(x−2)x5
Multiply the terms
x5(x−2)
Apply the distributive property
x5×x−x5×2
Multiply the terms
More Steps
Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
x6−x5×2
Solution
x6−2x5
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Find the roots
x1=0,x2=2
Evaluate
(x−2)(x5)
To find the roots of the expression,set the expression equal to 0
(x−2)(x5)=0
Calculate
(x−2)x5=0
Multiply the terms
x5(x−2)=0
Separate the equation into 2 possible cases
x5=0x−2=0
The only way a power can be 0 is when the base equals 0
x=0x−2=0
Solve the equation
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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