Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
3(6−x)(6+x)
Evaluate
108−3x2
Factor out 3 from the expression
3(36−x2)
Solution
More Steps
Evaluate
36−x2
Rewrite the expression in exponential form
62−x2
Use a2−b2=(a−b)(a+b) to factor the expression
(6−x)(6+x)
3(6−x)(6+x)
Show Solution
Find the roots
x1=−6,x2=6
Evaluate
108−3x2
To find the roots of the expression,set the expression equal to 0
108−3x2=0
Move the constant to the right-hand side and change its sign
−3x2=0−108
Removing 0 doesn't change the value,so remove it from the expression
−3x2=−108
Change the signs on both sides of the equation
3x2=108
Divide both sides
33x2=3108
Divide the numbers
x2=3108
Divide the numbers
More Steps
Evaluate
3108
Reduce the numbers
136
Calculate
36
x2=36
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±36
Simplify the expression
More Steps
Evaluate
36
Write the number in exponential form with the base of 6
62
Reduce the index of the radical and exponent with 2
6
x=±6
Separate the equation into 2 possible cases
x=6x=−6
Solution
x1=−6,x2=6
Show Solution