Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
6(x−2)(x+2)(x2+4)
Evaluate
6x4−96
Factor out 6 from the expression
6(x4−16)
Factor the expression
More Steps
Evaluate
x4−16
Rewrite the expression in exponential form
(x2)2−(1621)2
Use a2−b2=(a−b)(a+b) to factor the expression
(x2−1621)(x2+1621)
Evaluate
(x2−4)(x2+1621)
Evaluate
(x2−4)(x2+4)
6(x2−4)(x2+4)
Solution
More Steps
Evaluate
x2−4
Rewrite the expression in exponential form
x2−22
Use a2−b2=(a−b)(a+b) to factor the expression
(x−2)(x+2)
6(x−2)(x+2)(x2+4)
Show Solution
Find the roots
x1=−2,x2=2
Evaluate
6x4−96
To find the roots of the expression,set the expression equal to 0
6x4−96=0
Move the constant to the right-hand side and change its sign
6x4=0+96
Removing 0 doesn't change the value,so remove it from the expression
6x4=96
Divide both sides
66x4=696
Divide the numbers
x4=696
Divide the numbers
More Steps
Evaluate
696
Reduce the numbers
116
Calculate
16
x4=16
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±416
Simplify the expression
More Steps
Evaluate
416
Write the number in exponential form with the base of 2
424
Reduce the index of the radical and exponent with 4
2
x=±2
Separate the equation into 2 possible cases
x=2x=−2
Solution
x1=−2,x2=2
Show Solution