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(5)/(4x+1)-(1)/(3(2x+1))

1 Answer

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26x+14 / 24x^2 + 27x + 3.

Explanation:

5/4x+1- 1/3(2x+1)

(5/(4x+1))-(1/(6x+3))

(5/(4x+1))-(1/(6x+3)) = (5(6x+3) - 1(4x+1))/(4x+1)(6x+3) = 30x+15 - 4x-1 / 24x^2 + 27x + 3 = 26x+14 / 24x^2 + 27x + 3.

Here are the steps on how to solve it:

1. Simplify the expressions in the numerator and denominator.

2. Find a common denominator for the two fractions.

3. Subtract the numerators and simplify the expression.

The answer is 26x+14 / 24x^2 + 27x + 3.

bardai

To simplify the expression (5/(4x+1)) - (1/(6x+3)), we need to find a common denominator for the two fractions and then combine them.

Step 1: Find the common denominator

The common denominator for the fractions (4x+1) and (6x+3) is the product of their denominators, which is (4x+1)(6x+3).

Step 2: Convert both fractions to have the common denominator

To convert the first fraction, multiply both the numerator and denominator by (6x+3):

(5/(4x+1)) * ((6x+3)/(6x+3)) = (5*(6x+3))/((4x+1)*(6x+3)).

To convert the second fraction, multiply both the numerator and denominator by (4x+1):

(1/(6x+3)) * ((4x+1)/(4x+1)) = (1*(4x+1))/((6x+3)*(4x+1)).

Step 3: Combine the fractions

Now, the expression becomes:

(5*(6x+3))/((4x+1)*(6x+3)) - (1*(4x+1))/((6x+3)*(4x+1)).

Step 4: Simplify the expression

Since the denominators are the same, we can combine the numerators:

(5*(6x+3) - (4x+1))/((4x+1)*(6x+3)).

Now, distribute the multiplication:

(30x + 15 - 4x - 1)/((4x+1)*(6x+3)).

Combine like terms in the numerator:

(26x + 14)/((4x+1)*(6x+3)).

The simplified expression is:

(26x + 14)/((4x+1)*(6x+3)).

chatgpt

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