Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x+2)(x2−2x+4)
Evaluate
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
x3+8
To find the roots of the expression,set the expression equal to 0
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=3−8
Calculate
x=3−8
Solution
More Steps
Evaluate
3−8
An odd root of a negative radicand is always a negative
−38
Simplify the radical expression
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
−2
x=−2
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