Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
3(x2−2)(x2+2)
Evaluate
3x4−12
Factor out 3 from the expression
3(x4−4)
Solution
More Steps
Evaluate
x4−4
Rewrite the expression in exponential form
(x2)2−22
Use a2−b2=(a−b)(a+b) to factor the expression
(x2−2)(x2+2)
3(x2−2)(x2+2)
Show Solution
Find the roots
x1=−2,x2=2
Alternative Form
x1≈−1.414214,x2≈1.414214
Evaluate
3x4−12
To find the roots of the expression,set the expression equal to 0
3x4−12=0
Move the constant to the right-hand side and change its sign
3x4=0+12
Removing 0 doesn't change the value,so remove it from the expression
3x4=12
Divide both sides
33x4=312
Divide the numbers
x4=312
Divide the numbers
More Steps
Evaluate
312
Reduce the numbers
14
Calculate
4
x4=4
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±44
Simplify the expression
More Steps
Evaluate
44
Write the number in exponential form with the base of 2
422
Reduce the index of the radical and exponent with 2
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