Simplify the difference.

Question

a^2-2a-3/a^2-9a+18 - a^2-5a-6/a^2+9a+8

Answer 1

(2a-3)/(a-6)

Answer 2

Simplify the difference.
(a^2 - 2a - 3)/(a^2 - 9a + 18) - (a^2 - 5a - 6)/(a^2 + 9a + 8)

Answer 3

To simplify the given expression, we first factorize the two denominators so that we can find a common denominator:

(a^2 - 9a + 18) = (a - 6)(a - 3)
(a^2 + 9a + 8) = (a + 1)(a + 8)

Now, the expression can be rewritten as:

[(a^2 - 2a - 3)/(a - 6)(a - 3)] - [(a^2 - 5a - 6)/(a + 1)(a + 8)]

The common denominator is (a - 6)(a - 3)(a + 1)(a + 8), so combining the fractions, we get:

[(a^2 - 2a - 3)(a + 1)(a + 8) - (a^2 - 5a - 6)(a - 6)(a - 3)] / [(a - 6)(a - 3)(a + 1)(a + 8)]

Expanding the numerator and then simplifying gives the final answer.

Answer 4

so what is the answer

Answer 5

The answer to the simplified expression is:

(a^2 - a - 24) / [(a - 6)(a - 3)(a + 1)(a + 8)]

Answer 6

simplify the complex fraction
x+4x/y/7/3x

Answer 7

To simplify the given complex fraction, we work through it step by step:

First, express it as a single fraction:

(x + 4x)/y / 7 / 3x
= (5x)/y / 7 / 3x

Next, convert the division by a fraction to multiplication by the reciprocal:

(5x)/y * (1/7) * (1/(3x))
= (5x)/(7y) * (1/(3x))

Now simplify by canceling common terms:

= 5 / (7y * 3)
= 5 / 21y

Therefore, the simplified form of the given complex fraction is 5 / 21y.