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CAPITULO I

Suma de polinomios
Ejercicio 19
Sumar las expresiones siguientes y hallar el valor numérico del resultado para a=2,b=3,c=10,x=5,y=4,m= 2 3 ,n= 1 5
Realizamos las sumas como los ejercicios anteriores, y en el resultado final reemplazamos los valores indicados de las letras para obtener el valor numerico
  1. 4x5y;3x+6y8;x+y 4x 5y 3x +6y8 x +y ¯ 2y8 = 2( 4 ) 8 = 88 = 0
  2. x 2 5x+8; x 2 +10x30;6 x 2 +5x50 x 2 5x +8 x 2 +10x30 6 x 2 + 5x 50 ¯ 6 x 2 +10x72 = 6(5 ) 2 +10( 5 ) 72 = 6( 25 ) +5072 = 150+5072 = 172
  3. x 4 y 4 ;5 x 2 y 2 8+2 x 4 ;4 x 4 +7 x 3 y+10x y 3 x 4 y 4 2 x 4 5 x 2 y 2 8 4 x 4 +7 x 3 y+10x y 3 ¯ x 4 +7 x 3 y5 x 2 y 2 +10x y 3 y 4 8 = (5 ) 4 +7(5 ) 3 ( 4 ) 5(5 ) 2 (4 ) 2 +10( 5 ) (4 ) 3 (4 ) 4 8 = 625+35002000+32002568 = 3811
  4. 3m5n+6;6m+820n;20n+12m12 3m5n+6 6m20n+8 12m20n12 ¯ 9m45n+2 = ( 2 3 ) ( 1 5 ) +2 = 69+2 = 1
  5. nx+cnab;ab+8nx2cn;ab+nx5 ab+cn nx ab2cn+8nx ab+ nx 5 ¯ 3abcn+8nx5 = 3( 2 ) ( 3 ) () ( 1 5 ) +8( 1 5 ) (5 ) 5 = 182+85 = 17
  6. Mathematical Equation

  7. 27 m 3 +125 n 3 ;9 m 2 n+25m n 2 ;14m n 2 8;11m n 2 +10 m 2 n 27 m 3 +125 n 3 9 m 2 n+25m n 2 14m n 2 8 10 m 2 n+11m n 2 ¯ 27 m 3 + m 2 n+22m n 2 +125 n 3 8 = 27 ( 2 3 3 3 ) + ( 2 3 ) 2 ( 1 5 ) +22( 2 3 ) ( 1 5 ) 2 + 125 ( 1 5 3 ) 8 = 8 + 4 45 + 44 75 +1 8 = 20+132+225 225 = 377 225 1 152 225
  8. Mathematical Equation

  9. n b1 m x3 +8;5 n b1 3 m x3 +10;4 n b1 +5 m x3 18 n b1 m x3 + 8 5 n b1 3 m x3 + 10 4 n b1 +5 m x3 18 ¯ m x3 = ( 2 3 ) 53 = ( 2 3 ) 2 = 4 9
  10. Mathematical Equation

  11. Mathematical Equation

  12. 9 17 m 2 + 25 34 n 2 1 4 ;15mn+ 1 2 ; 5 17 n 2 + 7 34 m 2 1 4 ; 7 34 m 2 30mn+3 9 17 m 2 + 25 34 n 2 1 4 15mn+ 1 2 7 34 m 2 + 5 17 n 2 1 4 7 34 m 2 30mn+3 ¯ 9 17 m 2 45mn+( 25 n 2 +10 n 2 34 ) +3 = 9 17 m 2 45mn+ 35 n 2 34 +3 = 9 17 ( 2 2 3 2 ) ( 2 3 ) ( 1 5 ) + 35 ( 1 5 ) 2 34 +3 = 4 17 6+ ( 1 ) 34 +3 = 4 17 3+ 7 170 = 40510+7 170 = 463 170 2 123 170
  13. 1 2 b 2 m 3 5 cn2; 3 4 b 2 m+6 1 10 cn; 1 4 b 2 m+ 1 25 cn+4;2cn+ 3 5 1 8 b 2 m 1 2 b 2 m 3 5 cn2 3 4 b 2 m 1 10 cn+6 1 4 b 2 m+ 1 25 cn+4 1 8 b 2 m+2cn+ 3 5 ¯ ( 4 b 2 m+6 b 2 m2 b 2 m b 2 m 8 ) +( 30cn5cn+2cn+100cn 50 ) +(8+ 3 5 ) = 7 b 2 m 8 + 67cn 50 + 43 5 = 7 (3 ) 2 2 3 + 67 5 0 (1 0 ) ( 1 5 ) + 43 5 = 21 4 + 67 25 + 43 5 = 525+268+860 100 = 1653 100 16 53 100
  14. 0.2 a 3 +0.4a b 2 0.5 a 2 b;0.8 b 3 +0.6a b 2 0.3 a 2 b;0.4 a 3 +60.8 a 2 b;0.2 a 3 +0.9 b 3 +1.5 a 2 b 0.2 a 3 0.5 a 2 b+0.4a b 2 0.3 a 2 b+0.6a b 2 0.8 b 3 0.4 a 3 0.8 a 2 b+6 0.2 a 3 +1.5 a 2 b+0.9 b 3 ¯ 0.1 a 2 b+a b 2 +0.1 b 3 +6 = 0.1(2 ) 2 ( 3 ) +2(3 ) 2 +0.1(3 ) 3 +6 = 0.3( 4 ) +2( 9 ) +0.1( 27 ) +6 = 1.2+18+2.7+6 = 25.5
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