Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x2−2)(x4+2x2+4)
Evaluate
x6−8
Rewrite the expression in exponential form
x6−23
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x2−2)(x4+x2×2+22)
Use the commutative property to reorder the terms
(x2−2)(x4+2x2+22)
Solution
(x2−2)(x4+2x2+4)
Show Solution
Find the roots
x1=−2,x2=2
Alternative Form
x1≈−1.414214,x2≈1.414214
Evaluate
x6−8
To find the roots of the expression,set the expression equal to 0
x6−8=0
Move the constant to the right-hand side and change its sign
x6=0+8
Removing 0 doesn't change the value,so remove it from the expression
x6=8
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±68
Simplify the expression
More Steps
Evaluate
68
Write the number in exponential form with the base of 2
623
Reduce the index of the radical and exponent with 3
2
x=±2
Separate the equation into 2 possible cases
x=2x=−2
Solution
x1=−2,x2=2
Alternative Form
x1≈−1.414214,x2≈1.414214
Show Solution