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Uploaded by
Marta Martín
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Fracciones algeb mixto_blog
Operaciones variadas con fracciones algebraicas
Education
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Fracciones algeb mixto_blog
1.
Matemáticas Académicas www.aulamatematica.com 010. 44 3496 2 2 2 2 xx xx : xx xx : 12 65 2 2 xx xx x2 –
6x + 9 = (x – 3)2 x2 – x = x (x – 1) Factorizamos los que no se pueden hacer mentalmente: Método I: x2 – 4x + 3 1 – 4 3 3 3 – 3 1 – 1 0 (x – 3) (x – 1) Método II: x2 – 4x + 3 x = 12 314164 · ·· = 2 44 = 2 24 = 1 3 2 1 x x (x – 3) (x – 1) x2 – 4x + 4 = (x – 2)2 Método I : x2 – 5x + 6 1 – 5 6 3 3 – 6 1 – 2 0 (x – 3) (x – 2) x2 – 2x + 1 = (x – 1)2 = 2 2 2 31 1 3 )x( )x)(x( : )x(x )x( : 2 1 32 )x( )x)(x( = = )x(x )x( 1 3 2 · )x)(x( )x( 31 2 2 · )x)(x( )x( 32 1 2 = = x x 2 012. 1 1 2 2 x )a( : 2 2 1 1 )x( a = )x)(x( )a( 11 1 2 · )a)(a( )x( 11 1 2 = )a)(x( )x)·(a( 11 11 014. 2 2 11 xx xx : x x 1 1 2 34 1 x xxx : x xx 12 = Factorizamos y sustituimos: x4 – x3 + x – 1 1 – 1 0 1 – 1 1 1 0 0 1 1 0 0 1 0
2.
Marta Martín
Sierra Fracciones algebraicas – 1 – 1 1 – 1 1 – 1 1 0 (x – 1) (x + 1) (x2 – x + 1) = 2 2 111 x )xx)(x)(x( · 12 xx x = = x )x)(x( 11 015. 2 1 2 1 1 x x x 1 1 x = )x)(x( x x 11 2 1 1 · x x1 = = )x)(x( xx 11 21 · x x1 = = )x)(x( x 11 1 · x x1 = = x 1 017. 2 44 )yx( yx · xyx yx 2 Factorizamos: x4 – y4 = (x2 )2 – (y2 )2 = = (x2 + y2 )· (x2 – y2 ) = = (x2 + y2 ) (x + y) (x – y) = 2 22 )yx( )yx)(yx)·(yx( · )yx(x yx · 22 yx x = 1 018. (x + 1) 1 1 1 2 2 x x )x( = (x + 1) )x)(x( )x)(x)(x()x( 11 1111 2 = (opcional)= ))(( ))()(()()( 11 11111 2 xx xxxxx = = 1 1121 22 x )x)(x(xx = = 1 121 232 x xxxxx = = 1 23 x xx
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