Question

Сократите дробь 8x^2-2x-3 / 8x^2-14x+6

Answer 1

8x² - 2x - 3 / 8x² - 14x + 6 = 8x² + 4x - 6x - 3 / 2(4x² - 7x + 3) = 4x • (2x + 1) - 3(2x + 1) / 2(4x² - 3x - 4x + 3) = (4x - 3) • (2x + 1) / 2(x • (4x - 3) - (4x - 3)) = 2x + 1 / 2(x - 1) = 2x + 2 / 2x - 2