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CLASE 67

CLASE 67. ADICIÓN Y SUSTRACCIÓN DE FRACCIONES ALGEBRAICAS. x + 1. x + 9. c). a). +. M =. 2 x – 6. 9 – x 2. x 3 + 27. N =. x 3 + 5 x 2. b). Sean:. y. Expresa a M como una sola fracción. Halla S = M · N.

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CLASE 67

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  1. CLASE 67 ADICIÓN Y SUSTRACCIÓN DE FRACCIONES ALGEBRAICAS

  2. x + 1 x + 9 c) a) + M = 2x – 6 9 – x2 x3 + 27 N = x3 + 5x2 b) Sean: y Expresa a M como una sola fracción. Halla S = M · N ¿Existe algún x para el cuál se anula la fracción S?. Justifica tu respuesta.

  3. A –A A – = = x + 1 x + 9 B –B B + M = 2x – 6 9 – x2 1 (B  0) x + 1 x + 9 + M = 2(x – 3) (3 – x) (3 + x) x + 1 x + 9 – + M = (x – 3) 2(x – 3) – (x – 3) (x + 3) (3 + x) (3 – x) (x + 3) (x + 1) 2(x + 9) – M = (3 – x) (x + 3) (x + 3) 2(x – 3) 2(x – 3)

  4. x + 1 x + 9 – = x + 1 x + 9 2x – 6 x2 – 9 + M = 2x – 6 9 – x2 x + 5 2(x + 3) (x + 3) (x + 1) 2(x + 9) – – 2x – 18 x2+ 4x + 3 M = (x + 3) 2(x – 3) x2+ 2x – 15 M = (x + 3) 2(x – 3) (x – 3) (x + 5) M = = (x + 3) 2(x – 3) x   3

  5. m + 1 m – 5 b) – 1 A = B = m – 1 1 – m2 m2– 5m C = m3– m2+ m – 1 c) a) Calcula el valor numérico de D para m = 5 – 3 . Sean: ; y y E = B–1C Halla D = A – B Determina el dominio de D .

  6. R – T = 1 RS – S2 12 S Prueba que T = 2 si R – S = Considera:

  7. R – T = 1 1 RS – S2 12 12 S S Prueba que T = 2 si R – S = RS – S2 (R – S) – R R – T = = S (R – S) S (R – S) – R + S R S T = = S (R – S) S (R – S) 1 1 = = 2 T = R – S

  8. LIBRO DE DISTRIBUCIÓN GRATUITA. PROHIBIDA SU VENTA capítulo 1 epígrafe 9 TRABAJO ejercicios: 2, 3, 4 y 5 INDEPENDIENTE

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