Đáp án:
Giải thích các bước giải:
\(\begin{array}{l}
1.ĐK:x \ne \pm 4\\
Pt \to \frac{{5{x^2} - 80 + 96}}{{{x^2} - 16}} = \frac{{(2x - 1)(x - 4) + (3x - 1)(x + 4)}}{{{x^2} - 16}}\\
\to 5{x^2} + 16 = 2{x^2} - x - 8x + 4 + 3{x^2} + 12x - x - 4\\
\to 2x = 16 \to x = 8(TM)\\
2.ĐK:x \ne 1\\
Pt \to \frac{{{x^2} + x + 1 + 2{x^2} - 5}}{{{x^3} - 1}} = \frac{{4x - 4}}{{{x^3} - 1}}\\
\to 3{x^2} - 3x = 0\\
\to \left[ \begin{array}{l}
x = 0(TM)\\
x = 1(l)
\end{array} \right.
\end{array}\)