Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x−2)(x2+2x+4)
Evaluate
x4−8x
Factor out x from the expression
x(x3−8)
Solution
More Steps
Evaluate
x3−8
Rewrite the expression in exponential form
x3−23
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−2)(x2+x×2+22)
Use the commutative property to reorder the terms
(x−2)(x2+2x+22)
Evaluate
(x−2)(x2+2x+4)
x(x−2)(x2+2x+4)
Show Solution
Find the roots
x1=0,x2=2
Evaluate
x4−8x
To find the roots of the expression,set the expression equal to 0
x4−8x=0
Factor the expression
x(x3−8)=0
Separate the equation into 2 possible cases
x=0x3−8=0
Solve the equation
More Steps
Evaluate
x3−8=0
Move the constant to the right-hand side and change its sign
x3=0+8
Removing 0 doesn't change the value,so remove it from the expression
x3=8
Take the 3-th root on both sides of the equation
3x3=38
Calculate
x=38
Evaluate the root
More Steps
Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
x=2
x=0x=2
Solution
x1=0,x2=2
Show Solution