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thank you ​

Step-by-step explanation:

The general rule for add or subtracting fractions is that the fractions must have a common denominator, meaning that the value under the fraction bar must be the same. This rule is also applicable for algebraic fractions.

Therefore, when the question asks "Which of the following can be added without altering any of the fractions?", one should be looking for two fractions with a common denominator. Thus the answer would be the first option, which is the following;

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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