can someone help me if possible simplifying this fraction more
(2(x-5))/((x+3)(x-3)(x+1))
It wont simplify any more.
okay thank you i just tjought that the bottom i could still simplify it by foiling the first two them multiplying with the last
To simplify the fraction (2(x-5))/((x+3)(x-3)(x+1)), let's break it down step-by-step:
1. Start by expanding the denominator ((x+3)(x-3)(x+1)) using the FOIL method:
(x+3)(x-3)(x+1) = (x^2 + 3x - 3x - 9)(x+1)
= (x^2 - 9)(x+1)
= x^3 + x^2 - 9x - 9
2. Now we can rewrite the expression as:
2(x-5)/(x^3 + x^2 - 9x - 9)
3. However, there are no common factors between the numerator (2(x-5)) and the expanded denominator (x^3 + x^2 - 9x - 9), so the fraction cannot be simplified any further.
Therefore, (2(x-5))/((x+3)(x-3)(x+1)) is the simplest form of the given fraction.