Question
Factor the expression
41(2x−1)(2x+1)
Evaluate
x2−41
Factor out 41 from the expression
41(4x2−1)
Solution
More Steps

Evaluate
4x2−1
Rewrite the expression in exponential form
(2x)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(2x−1)(2x+1)
41(2x−1)(2x+1)
Show Solution

Find the roots
x1=−21,x2=21
Alternative Form
x1=−0.5,x2=0.5
Evaluate
x2−41
To find the roots of the expression,set the expression equal to 0
x2−41=0
Move the constant to the right-hand side and change its sign
x2=0+41
Add the terms
x2=41
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±41
Simplify the expression
More Steps

Evaluate
41
To take a root of a fraction,take the root of the numerator and denominator separately
41
Simplify the radical expression
41
Simplify the radical expression
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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
21
x=±21
Separate the equation into 2 possible cases
x=21x=−21
Solution
x1=−21,x2=21
Alternative Form
x1=−0.5,x2=0.5
Show Solution
