Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(8−x)(8+x)
Evaluate
64−x2
Rewrite the expression in exponential form
82−x2
Solution
(8−x)(8+x)
Show Solution
Find the roots
x1=−8,x2=8
Evaluate
64−x2
To find the roots of the expression,set the expression equal to 0
64−x2=0
Move the constant to the right-hand side and change its sign
−x2=0−64
Removing 0 doesn't change the value,so remove it from the expression
−x2=−64
Change the signs on both sides of the equation
x2=64
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±64
Simplify the expression
More Steps
Evaluate
64
Write the number in exponential form with the base of 8
82
Reduce the index of the radical and exponent with 2
8
x=±8
Separate the equation into 2 possible cases
x=8x=−8
Solution
x1=−8,x2=8
Show Solution