Question
Factor the expression
10(x−2)(x2+2x+4)
Evaluate
10x3−80
Factor out 10 from the expression
10(x3−8)
Solution
More Steps

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)
Evaluate
(x−2)(x2+2x+4)
10(x−2)(x2+2x+4)
Show Solution

Find the roots
x=2
Evaluate
10x3−80
To find the roots of the expression,set the expression equal to 0
10x3−80=0
Move the constant to the right-hand side and change its sign
10x3=0+80
Removing 0 doesn't change the value,so remove it from the expression
10x3=80
Divide both sides
1010x3=1080
Divide the numbers
x3=1080
Divide the numbers
More Steps

Evaluate
1080
Reduce the numbers
18
Calculate
8
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
Show Solution
