Reduce (4x^2-1)/(4x+2)

Solve Math

Algebra

$\frac{(4 x^{2} - 1)}{4 x + 2}$

Simplify the numerator.

Tap for more steps...

Rewrite $4 x^{2}$ as ${(2 x)}^{2}$ .

$\frac{{(2 x)}^{2} - 1}{4 x + 2}$

Rewrite $1$ as $1^{2}$ .

$\frac{{(2 x)}^{2} - 1^{2}}{4 x + 2}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 2 x$ and $b = 1$ .

$\frac{(2 x + 1) (2 x - 1)}{4 x + 2}$

Simplify terms.

Tap for more steps...

Factor $2$ out of $4 x + 2$ .

Tap for more steps...

Factor $2$ out of $4 x$ .

$\frac{(2 x + 1) (2 x - 1)}{2 (2 x) + 2}$

Factor $2$ out of $2$ .

$\frac{(2 x + 1) (2 x - 1)}{2 (2 x) + 2 (1)}$

Factor $2$ out of $2 (2 x) + 2 (1)$ .

$\frac{(2 x + 1) (2 x - 1)}{2 (2 x + 1)}$

Cancel the common factor of $2 x + 1$ .

Tap for more steps...

Cancel the common factor.

$\frac{(2 x + 1) (2 x - 1)}{2 (2 x + 1)}$

Rewrite the expression.

$\frac{2 x - 1}{2}$

Do you know how to Reduce (4x^2-1)/(4x+2)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name	one billion three hundred thirty-eight million four hundred thirty-two thousand nine hundred one

Interesting facts

1338432901 has 8 divisors, whose sum is 1441771520
The reverse of 1338432901 is 1092348331
Previous prime number is 22783

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 34
Digital Root 7

Name

Name	one billion four hundred ninety-two million five hundred eighty-three thousand thirty-five

Interesting facts

1492583035 has 16 divisors, whose sum is 1802634336
The reverse of 1492583035 is 5303852941
Previous prime number is 283

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 40
Digital Root 4

Name

Name	seven hundred twenty-two million three hundred fifty-seven thousand eight hundred forty-five

Interesting facts

722357845 has 32 divisors, whose sum is 978656256
The reverse of 722357845 is 548753227
Previous prime number is 137

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 43
Digital Root 7

Simplify (3-2i)(3+2i)

Find Where Undefined/Discontinuous y=(x-3)/(x^2-12x+27)

Solve Using the Quadratic Formula 4x^2-8=0

Find the End Behavior 5x^8-2x^7-8x^6+1

Solve by Factoring w^2-2w=15