Transcripción 12/3/2026, 9:48:38 p.m.

Apuntes

• Fracciones algebraicas: 3x + 1 + x - 2 = 2(3x + 1) + 5(x - 2) ----- --------- --------- --------- 5x 2x 10x 10x = 8 x + 1 = (x - 2) + 2(x + 3) --- --- = --------- + --------- 2x^3 2(x + 3) 2(x + 3) x^2 = 2(x + 3)(x - 2) (2x + 3)(x - 2) = 2x^2 - 2 6x + x - 2 = (6x) + (x - 3) ----- --------- --------- x^2 - 9 x + 3 3x + 1 + x - 2 = (x + 2)(x + 2) ----- --------- --------- x^2 - 2 (x + 2)(x + 2)(x - 1) = (x + 2)(x + 2)(x - 1) 3x + 13 (x + 2)(x + 1)(x - 1) 3x^2 + x = -4 + 6x + 6 = 3x^2 + 7x + 2 (x + 2)(x + 1)(x - 1) (3x + 1)(x + 2) = 3x + 4 (x + 2)(x + 1)(x - 1) • Multiplicación de fracciones algebraicas: 7x(2x - 3) / 4(3x - 2) = 14x^2 - 21x / 4x - 16 = 7x(2x - 3)·4(3x - 2) = 28x (3x - 2)(2x - 3) / 21(2x - 3) = 168 / x / 6 2x^2 - 2x + 1 / 4y^3 - 2y^4 = (1)(x - 1)(x - 2)(x - 4) x^2 + 2x + 3 / (x + 3)(x - 1) (x + 6)(x - 4) / (x^2 + 2x - 25) x^2 - 8x + 16 / (x - 4)(x - 4) • División de fracciones algebraicas: 1 - Para factorizar: x + 2 / (x - 6) = x^2 - 4x - 12 /...