Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−8
Evaluate
x2×x−8
Solution
More Steps
Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−8
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Factor the expression
(x−2)(x2+2x+4)
Evaluate
x2×x−8
Evaluate
More Steps
Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−8
Rewrite the expression in exponential form
x3−23
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−2)(x2+x×2+22)
Use the commutative property to reorder the terms
(x−2)(x2+2x+22)
Solution
(x−2)(x2+2x+4)
Show Solution
Find the roots
x=2
Evaluate
x2×x−8
To find the roots of the expression,set the expression equal to 0
x2×x−8=0
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
x3−8=0
Move the constant to the right-hand side and change its sign
x3=0+8
Removing 0 doesn't change the value,so remove it from the expression
x3=8
Take the 3-th root on both sides of the equation
3x3=38
Calculate
x=38
Solution
More Steps
Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
x=2
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