Comparte esto 👍👍DESCARGACAPITULO XIII Simplificación de fracciones Reducir una expresión mixta a fraccionaria Ejercicio 124Reducir a fracción: a+ 4a a+2 = a(a+2 ) +4a a+2 = a 2 +2a+4a a+2 = a 2 +6a a+2 = a(a+6 ) a+2 m–n– n 2 m = (m–n ) m– n 2 m = m 2 –mn– n 2 m x+5– 3 x–2 = x(x–2 ) +5(x–2 ) –3 x–2 = x 2 –2x+5x–10–3 x–2 = x 2 +3x–13 x–2 a+ ab a+b = a(a+b ) +ab a+b = a[(a+b ) +b ] a+b = a[a+b+b ] a+b = a(a+2b ) a+b 1– a 2 a +a–3 = 1– a 2 + a 2 –3a a = 1–3a a 1– a+x a–x = a –x– a –x a–x = –2x a–x = 2x x–a 2a+x a+x –1 = 2a+ x –a– x a+x = a a+x x+2– 3 x–1 = x(x–1 ) +2(x–1 ) –3 x–1 = x 2 –x+2x–2–3 x–1 = x 2 +x–5 x–1 x 2 –3x– x 2 –6x x+2 = ( x 2 –3x ) (x+2 ) –( x 2 –6x ) x+2 = x 3 –3 x 2 +2 x 2 – 6x – x 2 + 6x x+2 = x 3 –2 x 2 x+2 = x 2 (x–2 ) x+2 x+y+ x 2 – y 2 x–y =x+y+ (x+y )(x–y ) x–y =x+y+x+y =2x+2y =2(x+y ) 3mn m–n +m–2n = 3mn+m(m–n ) –2n(m–n ) m–n = 3mn + m 2 – mn – 2mn +2 n 2 m–n = m 2 +2 n 2 m–n 2a–3x– 5ax–6 x 2 a+2x =2a–3x– x(5a–6x ) a+2x = 2a(a+2x ) –3x(a+2x ) –x(5a–6x ) a+2x = 2 a 2 +4ax–3ax– 6 x 2 –5ax+ 6 x 2 a+2x = 2 a 2 –4ax a+2x = 2a(a–2x ) a+2x m 2 –2m+4– m 3 m+2 = m 2 (m+2 ) –2m(m+2 ) +4(m+2 ) – m 3 m+2 = m 3 + 2 m 2 – 2 m 2 – 4m + 4m +8– m 3 m+2 = 8 m+2 x 2 –5x– 3x(x+2 ) x–2 = x 2 (x–2 ) –5x(x–2 ) –3x(x+2 ) x–2 = x 3 –2 x 2 –5 x 2 +10x–3 x 2 –6x x–2 = x 3 –10 x 2 +4x x–2 = x( x 2 –10x+4 ) x–2 a 2 +3ab– b 2 + 7a b 2 – b 3 2a–b = ( a 2 +3ab– b 2 ) (2a–b ) +7a b 2 – b 3 2a–b = 2 a 3 +6 a 2 b–2a b 2 – a 2 b–3a b 2 + b 3 +7a b 2 – b 3 2a–b = 2 a 3 +5 a 2 b+2a b 2 2a–b = a(2 a 2 +5ab+2 b 2 ) 2a–b x 3 +2 x 2 –x+1 –(x+1 ) = x 3 +2–(x+1 ) ( x 2 –x+1 ) x 2 –x+1 = x 3 +2–( x 3 +1 ) x 2 –x+1 = x 3 +2– x 3 –1 x 2 –x+1 = 1 x 2 –x+1 x+3– x 3 –2 x 2 +1 x 2 –4x+3 = (x+3 ) ( x 2 –4x+3 ) –( x 3 –2 x 2 +1 ) x 2 –4x+3 = x 3 –4 x 2 +3x+3 x 2 –12x+9– x 3 +2 x 2 –1 (x–3 ) (x–1 ) = x 2 –9x+8 (x–3 ) (x–1 ) = (x–8 )(x–1 ) (x–3 )(x–1 ) = x–8 x–3 3a+ 3 a 2 b+3a b 2 a 2 – b 2 =3a+ 3ab (a+b ) (a+b )(a–b ) =3a+ 3ab a–b = 3a(a–b ) +3ab a–b = 3 a 2 – 3ab + 3ab a–b = 3 a 2 a–b x–3– x 3 –27 x 2 –6x+9 =x–3– (x–3 )( x 2 +3x+9 ) (x–3 ) 2 =x–3– x 2 +3x+9 x–3 = (x–3 ) 2 –( x 2 +3x+9 ) x–3 = x 2 –6x+ 9 – x 2 –3x– 9 x–3 = –9x x–3 = 9x 3–x a 2 –3a+5+ 2 a 3 –11a+9 a 2 +a–2 = a 2 –3a+5+ 2 a 3 –2a–9a+9 (a+2 ) (a–1 ) = a 2 –3a+5+ 2a( a 2 –1 ) –9(a–1 ) (a+2 ) (a–1 ) = a 2 –3a+5+ 2a(a–1 ) (a+1 ) –9(a–1 ) (a+2 ) (a–1 ) = a 2 –3a+5+ (a–1 )[2a(a+1 ) –9 ] (a+2 )(a–1 ) = a 2 –3a+5+ 2 a 2 +2a–9 a+2 = ( a 2 –3a+5 ) (a+2 ) +2 a 2 +2a–9 a+2 = a 3 –3 a 2 +5a+2 a 2 –6a+10+2 a 2 +2a–9 a+2 = a 3 + a 2 +a+1 a+2 = a 2 (a+1 ) +(a+1 ) a+2 = ( a 2 +1 ) (a+1 ) a+2 Categories: Capítulo XIII