Question
Factor the expression
3(x−4)(x2+4x+16)
Evaluate
3x3−192
Factor out 3 from the expression
3(x3−64)
Solution
More Steps

Evaluate
x3−64
Rewrite the expression in exponential form
x3−43
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−4)(x2+x×4+42)
Use the commutative property to reorder the terms
(x−4)(x2+4x+42)
Evaluate
(x−4)(x2+4x+16)
3(x−4)(x2+4x+16)
Show Solution

Find the roots
x=4
Evaluate
3x3−192
To find the roots of the expression,set the expression equal to 0
3x3−192=0
Move the constant to the right-hand side and change its sign
3x3=0+192
Removing 0 doesn't change the value,so remove it from the expression
3x3=192
Divide both sides
33x3=3192
Divide the numbers
x3=3192
Divide the numbers
More Steps

Evaluate
3192
Reduce the numbers
164
Calculate
64
x3=64
Take the 3-th root on both sides of the equation
3x3=364
Calculate
x=364
Solution
More Steps

Evaluate
364
Write the number in exponential form with the base of 4
343
Reduce the index of the radical and exponent with 3
4
x=4
Show Solution
