Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
4(2−x2)(2+x2)
Evaluate
16−4x4
Factor out 4 from the expression
4(4−x4)
Solution
More Steps
Evaluate
4−x4
Rewrite the expression in exponential form
22−(x2)2
Use a2−b2=(a−b)(a+b) to factor the expression
(2−x2)(2+x2)
4(2−x2)(2+x2)
Show Solution
Find the roots
x1=−2,x2=2
Alternative Form
x1≈−1.414214,x2≈1.414214
Evaluate
16−4x4
To find the roots of the expression,set the expression equal to 0
16−4x4=0
Move the constant to the right-hand side and change its sign
−4x4=0−16
Removing 0 doesn't change the value,so remove it from the expression
−4x4=−16
Change the signs on both sides of the equation
4x4=16
Divide both sides
44x4=416
Divide the numbers
x4=416
Divide the numbers
More Steps
Evaluate
416
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