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Subtract. (x+1)/(x+3)-(2x-4)/(5x+15) Simplify your answer as much as possible.

User Julfikar
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Final answer:

To subtract fractions, we need to find a common denominator. Then, we simplify the expression by expanding and combining like terms, and finally, we simplify as much as possible.

Step-by-step explanation:

To subtract (x+1)/(x+3) - (2x-4)/(5x+15), we need to find a common denominator. The common denominator is (x+3)(5x+15).

Now, we can rewrite the equation using the common denominator:

((x+1)(5x+15) - (2x-4)(x+3))/(common denominator)

Next, we simplify by expanding and combining like terms:

(5x^2 + 20x + 15 - 2x^2 + 4x + 12)/(common denominator)

(3x^2 + 24x + 27)/(common denominator)

Finally, we simplify the expression as much as possible. There are no common factors in the numerator and denominator that can be cancelled out, so the result is:

3x^2 + 24x + 27)/(x^2 + 8x + 9)

User Fotoflo
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