Question
Simplify the expression
6x3−6
Evaluate
3x2×2x−6
Solution
More Steps

Evaluate
3x2×2x
Multiply the terms
6x2×x
Multiply the terms with the same base by adding their exponents
6x2+1
Add the numbers
6x3
6x3−6
Show Solution

Factor the expression
6(x−1)(x2+x+1)
Evaluate
3x2×2x−6
Evaluate
More Steps

Evaluate
3x2×2x
Multiply the terms
6x2×x
Multiply the terms with the same base by adding their exponents
6x2+1
Add the numbers
6x3
6x3−6
Factor out 6 from the expression
6(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)
6(x−1)(x2+x+1)
Show Solution

Find the roots
x=1
Evaluate
3x2×2x−6
To find the roots of the expression,set the expression equal to 0
3x2×2x−6=0
Multiply
More Steps

Multiply the terms
3x2×2x
Multiply the terms
6x2×x
Multiply the terms with the same base by adding their exponents
6x2+1
Add the numbers
6x3
6x3−6=0
Move the constant to the right-hand side and change its sign
6x3=0+6
Removing 0 doesn't change the value,so remove it from the expression
6x3=6
Divide both sides
66x3=66
Divide the numbers
x3=66
Divide the numbers
More Steps

Evaluate
66
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
