Question
Factor the expression
3(x−2)(x+2)
Evaluate
3x2−12
Factor out 3 from the expression
3(x2−4)
Solution
More Steps

Evaluate
x2−4
Rewrite the expression in exponential form
x2−22
Use a2−b2=(a−b)(a+b) to factor the expression
(x−2)(x+2)
3(x−2)(x+2)
Show Solution

Find the roots
x1=−2,x2=2
Evaluate
3x2−12
To find the roots of the expression,set the expression equal to 0
3x2−12=0
Move the constant to the right-hand side and change its sign
3x2=0+12
Removing 0 doesn't change the value,so remove it from the expression
3x2=12
Divide both sides
33x2=312
Divide the numbers
x2=312
Divide the numbers
More Steps

Evaluate
312
Reduce the numbers
14
Calculate
4
x2=4
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4
Simplify the expression
More Steps

Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
x=±2
Separate the equation into 2 possible cases
x=2x=−2
Solution
x1=−2,x2=2
Show Solution
