Question
Factor the expression
2(x−3)(x2+3x+9)
Evaluate
2x3−54
Factor out 2 from the expression
2(x3−27)
Solution
More Steps

Evaluate
x3−27
Rewrite the expression in exponential form
x3−33
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−3)(x2+x×3+32)
Use the commutative property to reorder the terms
(x−3)(x2+3x+32)
Evaluate
(x−3)(x2+3x+9)
2(x−3)(x2+3x+9)
Show Solution

Find the roots
x=3
Evaluate
2x3−54
To find the roots of the expression,set the expression equal to 0
2x3−54=0
Move the constant to the right-hand side and change its sign
2x3=0+54
Removing 0 doesn't change the value,so remove it from the expression
2x3=54
Divide both sides
22x3=254
Divide the numbers
x3=254
Divide the numbers
More Steps

Evaluate
254
Reduce the numbers
127
Calculate
27
x3=27
Take the 3-th root on both sides of the equation
3x3=327
Calculate
x=327
Solution
More Steps

Evaluate
327
Write the number in exponential form with the base of 3
333
Reduce the index of the radical and exponent with 3
3
x=3
Show Solution
