Question
Factor the expression
(3n−1)(3n+1)
Evaluate
9n2−1
Rewrite the expression in exponential form
(3n)2−12
Solution
(3n−1)(3n+1)
Show Solution

Find the roots
n1=−31,n2=31
Alternative Form
n1=−0.3˙,n2=0.3˙
Evaluate
9n2−1
To find the roots of the expression,set the expression equal to 0
9n2−1=0
Move the constant to the right-hand side and change its sign
9n2=0+1
Removing 0 doesn't change the value,so remove it from the expression
9n2=1
Divide both sides
99n2=91
Divide the numbers
n2=91
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±91
Simplify the expression
More Steps

Evaluate
91
To take a root of a fraction,take the root of the numerator and denominator separately
91
Simplify the radical expression
91
Simplify the radical expression
More Steps

Evaluate
9
Write the number in exponential form with the base of 3
32
Reduce the index of the radical and exponent with 2
3
31
n=±31
Separate the equation into 2 possible cases
n=31n=−31
Solution
n1=−31,n2=31
Alternative Form
n1=−0.3˙,n2=0.3˙
Show Solution
