Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−2x2−x6
Evaluate
(x−2)x2−(x3)2
Multiply the exponents
(x−2)x2−x3×2
Multiply the numbers
(x−2)x2−x6
Multiply the terms
x2(x−2)−x6
Solution
More Steps
Evaluate
x2(x−2)
Apply the distributive property
x2×x−x2×2
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−x2×2
Use the commutative property to reorder the terms
x3−2x2
x3−2x2−x6
Show Solution
Factor the expression
x2(x−2−x4)
Evaluate
(x−2)x2−(x3)2
Evaluate the power
More Steps
Evaluate
(x3)2
Transform the expression
x3×2
Multiply the numbers
x6
(x−2)x2−x6
Multiply the terms
x2(x−2)−x6
Rewrite the expression
x2(x−2)−x2×x4
Solution
x2(x−2−x4)
Show Solution
Find the roots
x=0
Evaluate
(x−2)(x2)−(x3)2
To find the roots of the expression,set the expression equal to 0
(x−2)(x2)−(x3)2=0
Calculate
(x−2)x2−(x3)2=0
Evaluate the power
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Evaluate
(x3)2
Transform the expression
x3×2
Multiply the numbers
x6
(x−2)x2−x6=0
Multiply the terms
x2(x−2)−x6=0
Calculate
More Steps
Evaluate
x2(x−2)
Apply the distributive property
x2×x−x2×2
Multiply the terms
More Steps
Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−x2×2
Use the commutative property to reorder the terms
x3−2x2
x3−2x2−x6=0
Factor the expression
x2(x−2−x4)=0
Separate the equation into 2 possible cases
x2=0x−2−x4=0
The only way a power can be 0 is when the base equals 0
x=0x−2−x4=0
Solve the equation
x=0x∈/R
Solution
x=0
Show Solution