Question
Factor the expression
2(a−3)(a2+3a+9)
Evaluate
2a3−54
Factor out 2 from the expression
2(a3−27)
Solution
More Steps

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

Find the roots
a=3
Evaluate
2a3−54
To find the roots of the expression,set the expression equal to 0
2a3−54=0
Move the constant to the right-hand side and change its sign
2a3=0+54
Removing 0 doesn't change the value,so remove it from the expression
2a3=54
Divide both sides
22a3=254
Divide the numbers
a3=254
Divide the numbers
More Steps

Evaluate
254
Reduce the numbers
127
Calculate
27
a3=27
Take the 3-th root on both sides of the equation
3a3=327
Calculate
a=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
a=3
Show Solution
