Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(8−s2)(8+s2)
Evaluate
64−s4
Rewrite the expression in exponential form
82−(s2)2
Solution
(8−s2)(8+s2)
Show Solution
Find the roots
s1=−22,s2=22
Alternative Form
s1≈−2.828427,s2≈2.828427
Evaluate
64−s4
To find the roots of the expression,set the expression equal to 0
64−s4=0
Move the constant to the right-hand side and change its sign
−s4=0−64
Removing 0 doesn't change the value,so remove it from the expression
−s4=−64
Change the signs on both sides of the equation
s4=64
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±464
Simplify the expression
More Steps
Evaluate
464
Write the expression as a product where the root of one of the factors can be evaluated
416×4
Write the number in exponential form with the base of 2
424×4
The root of a product is equal to the product of the roots of each factor
424×44
Reduce the index of the radical and exponent with 4
244
Simplify the root
22
s=±22
Separate the equation into 2 possible cases
s=22s=−22
Solution
s1=−22,s2=22
Alternative Form
s1≈−2.828427,s2≈2.828427
Show Solution