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DESCARGA
CAPITULO IV

Multiplicación
Multiplicación de monomios
Ejercicio 48
  • Se suprimen los signos de agrupación más internos
  • Se reduce efectuando las operaciones indicadas
  • Reducimos términos semejantes
Simplificar
  1. x–[3a+2(–x+1 ) ] x–[3a+2(–x+1 ) ] = x–[3a–2x+2 ] = x–3a+2x–2 = 3x–3a–2
  2. –(a+b ) –3[2a+b(–a+2 ) ] –(a+b ) –3[2a+b(–a+2 ) ] = –a–b–3[2a–ab+2b ] = –a–b–6a+3ab–6b = –7a+3ab–7b
  3. –[3x–2y+(x–2y ) –2(x+y ) –3(2x+1 ) ] –[3x–2y+(x–2y ) –2(x+y ) –3(2x+1 ) ] = –[3x–2y+x–2y–2x–2y–6x–3 ] = –[–4x–6y–3 ] = 4x+6y+3
  4. 4 x 2 –{–3x+5–[–x+x(2–x ) ] } 4 x 2 –{–3x+5–[–x+x(2–x ) ] } = 4 x 2 –{–3x+5–[–x+2x– x 2 ] } = 4 x 2 –{–3x+5–x+ x 2 } = 4 x 2 –{5–4x+ x 2 } = 4 x 2 –5+4x– x 2 = 3 x 2 +4x–5
  5. 2a–{–3x+2[–a+3x–2(–a+b– 2+a ¯ ) ] } 2a–{–3x+2[–a+3x–2(–a+b– 2+a ¯ ) ] } = 2a–{–3x+2[–a+3x–2(–a+b–2–a ) ] } = 2a–{–3x+2[–a+3x–2(–2a+b–2 ) ] } = 2a–{–3x+2[–a+3x+4a–2b+4 ] } = 2a–{–3x+2[3a+3x–2b+4 ] } = 2a–{–3x+6a+6x–4b+8 } = 2a–{6a+3x–4b+8 } = 2a–6a–3x+4b–8 = –4a+4b–3x–8
  6. a–(x+y ) –3(x–y ) +2[–(x–2y ) –2(–x–y ) ] a–(x+y ) –3(x–y ) +2[–(x–2y ) –2(–x–y ) ] = a–x–y–3x+3y+2[–x+2y+2x+2y ] = a–4x+2y+2[x+4y ] = a–4x+2y+2x+8y = a–2x+10y
  7. m–(m+n ) –3{–2m+[–2m+n+2(–1+n ) – m+n–1 ¯ ] } m–(m+n ) –3{–2m+[–2m+n+2(–1+n ) – m+n–1 ¯ ] } = m – m –n–3{–2m+[–2m+ n –2+2n–m– n +1 ] } = –n–3{–2m+[–3m+2n–1 ] } = –n–3{–2m–3m+2n–1 } = –n–3{–5m+2n–1 } = –n+15m–6n+3 = 15m–7n+3
  8. –2(a–b ) –3(a+2b ) –4{a–2b+2[–a+b–1+2(a–b ) ] } –2(a–b ) –3(a+2b ) –4{a–2b+2[–a+b–1+2(a–b ) ] } = –2a+2b–3a–6b–4{a–2b+2[–a+b–1+2a–2b ] } = –5a–4b–4{a–2b+2[a–b–1 ] } = –5a–4b–4{a–2b+2a–2b–2 } = –5a–4b–4{3a–4b–2 } = –5a–4b–12a+16b+8 = –17a+12b+8
  9. –5(x+y ) –[2x–y+2{–x+y–3– x–y–1 ¯ } ] +2x –5(x+y ) –[2x–y+2{–x+y–3– x–y–1 ¯ } ] +2x = –5x–5y–[2x–y+2{–x+y–3–x+y+1 } ] +2x = –3x–5y–[2x–y+2{–2x+2y–2 } ] = –3x–5y–[2x–y–4x+4y–4 ] = –3x–5y–[–2x+3y–4 ] = –3x–5y+2x–3y+4 = –x–8y+4
  10. m–3(m+n ) +[–{–(–2m+n–2–3[m–n+1 ] ) +m } ] m–3(m+n ) +[–{–(–2m+n–2–3[m–n+1 ] ) +m } ] = m–3m–3n+[–{–(–2m+n–2–3m+3n–3 ) +m } ] = –2m–3n+[–{–(–5m+4n–5 ) +m } ] = –2m–3n+[–{5m–4n+5+m } ] = –2m–3n+[–{6m–4n+5 } ] = –2m–3n+[–6m+4n–5 ] = –2m–3n–6m+4n–5 = –8m+n–5
  11. –3(x–2y ) +2{–4[–2x–3(x+y ) ] } –{–[–(x+y ) ] } –3(x–2y ) +2{–4[–2x–3(x+y ) ] } –{–[–(x+y ) ] } = –3x+6y+2{–4[–2x–3x–3y ] } –{ (x+y )} = –3x+6y+2{–4[–5x–3y ] } –x–y = –4x+5y+2{20x+12y } = –4x+5y+40x+24y = 36x+29y
  12. 5{–(a+b ) –3[–2a+3b–(a+b ) +(–a–b ) +2(–a+b ) ] –a } 5{–(a+b ) –3[–2a+3b–(a+b ) +(–a–b ) +2(–a+b ) ] –a } = 5{–a–b–3[–2a+3b–a– b –a– b –2a+ 2b ] –a } = 5{–2a–b–3[–6a+3b ] } = 5{–2a–b+18a–9b } = 5{16a–10b } = 80a–50b
  13. –3{–[+(–a+b ) ] } –4{–[–(–a–b ) ] } –3{–[+(–a+b ) ] } –4{–[–(–a–b ) ] } = –3{–(–a+b ) } –4{ (–a–b )} = –3{a–b } +4a+4b = –3a+3b+4a+4b = a+7b
  14. –{a+b–2(a–b ) +3{–[2a+b–3(a+b–1 ) ] } –3[–a+2(–1+a ) ] } –{a+b–2(a–b ) +3{–[2a+b–3(a+b–1 ) ] } –3[–a+2(–1+a ) ] } = –{a+b–2a+2b+3{–[2a+b–3a–3b+3 ] } –3[–a–2+2a ] } = –{–a+3b+3{–[–a–2b+3 ] } –3[–2+a ] } = –{–a+3b+3{a+2b–3 } +6–3a } = –{–4a+3b+3a+6b–9+6 } = –{–a+9b–3 } = a–9b+3
Categories: Capítulo IV