Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x2−3)(x4+3x2+9)
Evaluate
x6−27
Rewrite the expression in exponential form
x6−33
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x2−3)(x4+x2×3+32)
Use the commutative property to reorder the terms
(x2−3)(x4+3x2+32)
Solution
(x2−3)(x4+3x2+9)
Show Solution
Find the roots
x1=−3,x2=3
Alternative Form
x1≈−1.732051,x2≈1.732051
Evaluate
x6−27
To find the roots of the expression,set the expression equal to 0
x6−27=0
Move the constant to the right-hand side and change its sign
x6=0+27
Removing 0 doesn't change the value,so remove it from the expression
x6=27
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±627
Simplify the expression
More Steps
Evaluate
627
Write the number in exponential form with the base of 3
633
Reduce the index of the radical and exponent with 3
3
x=±3
Separate the equation into 2 possible cases
x=3x=−3
Solution
x1=−3,x2=3
Alternative Form
x1≈−1.732051,x2≈1.732051
Show Solution