Question

What is the simplified result of subtracting the rational expressions (8a-11b)/(6a) and (2a-6b)/(6a)? 1) 6b/6a 2) -4b/6a 3) -8b/6a 4) 4b/6a

Answer 1

To simplify the expression (8a-11b)/(6a) - (2a-6b)/(6a), we find a common denominator and subtract the numerators, resulting in 6a-5b.

Step-by-step explanation:

To simplify the expression (8a-11b)/(6a) - (2a-6b)/(6a), we first find a common denominator, which is 6a. Next, we subtract the numerators. The numerator of the first expression is 8a-11b, and the numerator of the second expression is 2a-6b. Subtracting these gives us (8a-11b) - (2a-6b). Simplifying further, we get 8a-11b - 2a+6b. Finally, combining like terms, we have 6a-5b.

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