Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x+4)(x2−4x+16)
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)
Solution
(x+4)(x2−4x+16)
Show Solution
Find the roots
x=−4
Evaluate
x3+64
To find the roots of the expression,set the expression equal to 0
x3+64=0
Move the constant to the right-hand side and change its sign
x3=0−64
Removing 0 doesn't change the value,so remove it from the expression
x3=−64
Take the 3-th root on both sides of the equation
3x3=3−64
Calculate
x=3−64
Solution
More Steps
Evaluate
3−64
An odd root of a negative radicand is always a negative
−364
Simplify the radical expression
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
−4
x=−4
Show Solution