Question
Simplify the expression
48n2−3
Evaluate
12n2×4−3
Solution
48n2−3
Show Solution

Factor the expression
3(4n−1)(4n+1)
Evaluate
12n2×4−3
Evaluate
48n2−3
Factor out 3 from the expression
3(16n2−1)
Solution
More Steps

Evaluate
16n2−1
Rewrite the expression in exponential form
(4n)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(4n−1)(4n+1)
3(4n−1)(4n+1)
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Find the roots
n1=−41,n2=41
Alternative Form
n1=−0.25,n2=0.25
Evaluate
12n2×4−3
To find the roots of the expression,set the expression equal to 0
12n2×4−3=0
Multiply the terms
48n2−3=0
Move the constant to the right-hand side and change its sign
48n2=0+3
Removing 0 doesn't change the value,so remove it from the expression
48n2=3
Divide both sides
4848n2=483
Divide the numbers
n2=483
Cancel out the common factor 3
n2=161
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±161
Simplify the expression
More Steps

Evaluate
161
To take a root of a fraction,take the root of the numerator and denominator separately
161
Simplify the radical expression
161
Simplify the radical expression
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Evaluate
16
Write the number in exponential form with the base of 4
42
Reduce the index of the radical and exponent with 2
4
41
n=±41
Separate the equation into 2 possible cases
n=41n=−41
Solution
n1=−41,n2=41
Alternative Form
n1=−0.25,n2=0.25
Show Solution
