Question

Express in lowest terms:
3x^2- 11x- 4/ 6x^2-7x- 3.

chapter-1
Rational Expressions.​

Answer 1

$\frac{3 {x}^{2} - 11x - 4}{6 {x}^{2} - 7x - 3 } \\ \\ = \frac{3 {x}^{2} - 12x + x - 4}{6 {x}^{2} - 9x + 2x - 3} \\ \\ = \frac{3x(x - 4) + 1(x - 4)}{3x(2x - 3) + 1(2x - 3)} \\ \\ = \frac{(3x + 1)(x - 4)}{(3x + 1)(2x - 3)} \\ \\ = \frac{(x - 4)}{(2x - 3)}$

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