Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(5−x)(5+x)
Evaluate
25−x2
Rewrite the expression in exponential form
52−x2
Solution
(5−x)(5+x)
Show Solution
Find the roots
x1=−5,x2=5
Evaluate
25−x2
To find the roots of the expression,set the expression equal to 0
25−x2=0
Move the constant to the right-hand side and change its sign
−x2=0−25
Removing 0 doesn't change the value,so remove it from the expression
−x2=−25
Change the signs on both sides of the equation
x2=25
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±25
Simplify the expression
More Steps
Evaluate
25
Write the number in exponential form with the base of 5
52
Reduce the index of the radical and exponent with 2
5
x=±5
Separate the equation into 2 possible cases
x=5x=−5
Solution
x1=−5,x2=5
Show Solution