Question
Factor the expression
8(x−1)(x2+x+1)
Evaluate
8x3−8
Factor out 8 from the expression
8(x3−1)
Solution
More Steps

Evaluate
x3−1
Rewrite the expression in exponential form
x3−13
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−1)(x2+x×1+12)
Any expression multiplied by 1 remains the same
(x−1)(x2+x+12)
1 raised to any power equals to 1
(x−1)(x2+x+1)
8(x−1)(x2+x+1)
Show Solution

Find the roots
x=1
Evaluate
8x3−8
To find the roots of the expression,set the expression equal to 0
8x3−8=0
Move the constant to the right-hand side and change its sign
8x3=0+8
Removing 0 doesn't change the value,so remove it from the expression
8x3=8
Divide both sides
88x3=88
Divide the numbers
x3=88
Divide the numbers
More Steps

Evaluate
88
Reduce the numbers
11
Calculate
1
x3=1
Take the 3-th root on both sides of the equation
3x3=31
Calculate
x=31
Solution
x=1
Show Solution
