Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−8)(x2+8x+64)
Evaluate
x3−512
Rewrite the expression in exponential form
x3−83
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−8)(x2+x×8+82)
Use the commutative property to reorder the terms
(x−8)(x2+8x+82)
Solution
(x−8)(x2+8x+64)
Show Solution
Find the roots
x=8
Evaluate
x3−512
To find the roots of the expression,set the expression equal to 0
x3−512=0
Move the constant to the right-hand side and change its sign
x3=0+512
Removing 0 doesn't change the value,so remove it from the expression
x3=512
Take the 3-th root on both sides of the equation
3x3=3512
Calculate
x=3512
Solution
More Steps
Evaluate
3512
Write the number in exponential form with the base of 8
383
Reduce the index of the radical and exponent with 3
8
x=8
Show Solution