Question

simplify.......this question

Answer 1

Heya user Here is your answer
$\frac{4}{x - 3} + \frac{3}{x + 3} - \frac{24}{ {x}^{2} - 9 } \\ using \: {a}^{2} - {b}^{2} = (a - b)(a + b) \\ \frac{4}{x - 3} + \frac{3}{x + 3} - \frac{24}{ {x}^{2} - {3}^{2} } \\ \frac{4}{x - 3} + \frac{3}{x + 3} - \frac{24}{(x - 3)(x + 3)} \\ write \: all \: the \: numerators \: above \: the \: least \: common \: denominator \: \\ \frac{4(x + 3) + 3(x - 3) - 24}{ (x - 3)(x + 3)} \\ remove \: the \: parentheses \\ \frac{4x + 12 + 3x - 9 - 24}{(x - 3)(x + 3)} \\ collect \: like \: terms \\ \frac{4x + 3x + 12 - 9 - 24}{(x - 3)(x + 3)} \\ \frac{7x - 21}{x - 3)(x + 3)} \\ factor \: out \: 7 \: from \: the \: expression \\ \frac{7(x - 3)}{(x - 3)(x + 3)} \\ simplify \\ \frac{7}{(x + 3)}$
Hope It will help you friend