Question

Work out the value of a and the value of b

Answer 1

3x - 18 ÷ x^2 - 4

a=3

a=3b= - 18

Hope this helps!

Answer 2

Explanation:

`2 - (x + 1)/(x - 2) - (x - 4)/(x + 2) = \: \frac{ax + b}{x {}^(2) - 4 } \\ = \: \: 2 - \frac{(x + 1)(x + 2) - (x - 4)(x - 2)}{x {}^(2) - 4 } \\ = \frac{2x {}^(2) - 8 - x {}^(2) - 2x - x - 2 - x {}^(2) + 2x + 4x - 8 }{x {}^(2) - 4 } \\ = \frac{ - 8 - 2 + 3x - 8}{x {}^(2) - 4 } \\ = \frac{3x - 18}{x {}^(2) - 4 } \\`

so, a = 3, b = -18