Question

Simplify into one fraction 6/x+2-1/x+9

Answer 1

To simplify the expression 6/(x+2) - 1/(x+9), we find a common denominator and combine the numerators to get (5x + 52) / ((x+2)(x+9)).

Step-by-step explanation:

To simplify the expression 6/(x+2) - 1/(x+9), we need to find a common denominator for the two fractions. We do this by multiplying each fraction by a form of 1 that will equate their denominators. Here's a step-by-step breakdown:

• Multiplication: (6/(x+2)) * ((x+9)/(x+9)) - (1/(x+9)) * ((x+2)/(x+2))
• The common denominator will be (x+2)(x+9).
• Combine the numerators: (6(x+9)) - (1(x+2)).
• Expand the brackets: 6x + 54 - (x + 2)
• Combine like terms: (6x - x) + (54 - 2)
• Simplify: 5x + 52

The simplified result is (5x + 52) / ((x+2)(x+9)).

Answer 2

Assuming the format is thus:


`(6)/(x) +2 - (1)/(x) + 9`

Add 2 and 9 = 11

Add 6 and -1 = 5


`(5)/(x) + 11`