Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(4−x)(4+x)
Evaluate
16−x2
Rewrite the expression in exponential form
42−x2
Solution
(4−x)(4+x)
Show Solution
Find the roots
x1=−4,x2=4
Evaluate
16−x2
To find the roots of the expression,set the expression equal to 0
16−x2=0
Move the constant to the right-hand side and change its sign
−x2=0−16
Removing 0 doesn't change the value,so remove it from the expression
−x2=−16
Change the signs on both sides of the equation
x2=16
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±16
Simplify the expression
More Steps
Evaluate
16
Write the number in exponential form with the base of 4
42
Reduce the index of the radical and exponent with 2
4
x=±4
Separate the equation into 2 possible cases
x=4x=−4
Solution
x1=−4,x2=4
Show Solution