Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x7−2x6
Evaluate
(x2)3(x−2)
Multiply the exponents
x2×3(x−2)
Multiply the numbers
x6(x−2)
Apply the distributive property
x6×x−x6×2
Multiply the terms
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Evaluate
x6×x
Use the product rule an×am=an+m to simplify the expression
x6+1
Add the numbers
x7
x7−x6×2
Solution
x7−2x6
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Find the roots
x1=0,x2=2
Evaluate
(x2)3(x−2)
To find the roots of the expression,set the expression equal to 0
(x2)3(x−2)=0
Evaluate the power
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Evaluate
(x2)3
Transform the expression
x2×3
Multiply the numbers
x6
x6(x−2)=0
Separate the equation into 2 possible cases
x6=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