Ejercicio 73 – Solucionario Baldor

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DESCARGA

CAPITULO VI

PRODUCTOS Y COCIENTES NOTABLES

Ejercicio 73

MISCELANEA

Escribir el cociente sin efectuar la división:

$\frac{x^{4} - 1}{1 + x^{2}} = x^{2} - 1$
$\frac{8 m^{3} + n^{6}}{2 m + n^{2}} = 4 m^{2} - 2 m n^{2} + n^{4}$
$\frac{1 - a^{5}}{1 - a} = 1 + a + a^{2} + a^{3} + a^{4}$
$\frac{x^{6} - 27 y^{3}}{x^{2} - 3 y} = x^{4} + 3 x^{2} y + 9 y^{2}$
$\frac{x^{6} - 49 y^{6}}{x^{3} + 7 y^{3}} = x^{3} - 7 y^{3}$
$\frac{a^{14} - b^{14}}{a^{2} - b^{2}} = a^{12} + a^{10} b^{2} + a^{8} b^{4} + a^{6} b^{6} + a^{4} b^{8} + a^{2} b^{10} + b^{12}$
$\frac{1 + a^{3}}{1 + a} = 1 - a + a^{2}$
$\frac{16 x^{2} y^{4} - 25 m^{6}}{4 x y^{2} + 5 m^{3}} = 4 x y^{2} - 5 m^{3}$
$\frac{x^{27} + y^{27}}{x^{3} + y^{3}} = x^{24} - x^{21} y^{3} + x^{18} y^{6} - x^{15} y^{9} + x^{12} y^{12} - x^{9} y^{15} + x^{6} y^{18} - x^{3} y^{21} + y^{24}$
$\frac{a^{27} + y^{27}}{a^{9} + y^{9}} = a^{18} - a^{9} y^{9} + y^{18}$
$\frac{a^{4} b^{4} - 64 x^{6}}{a^{2} b^{2} + 8 x^{3}} = a^{2} b^{2} - 8 x^{3}$
$\frac{1 - a^{2} b^{4} c^{8}}{1 - a b^{2} c^{4}} = 1 + a b^{2} c^{4}$
$\frac{32 x^{5} + 243 y^{5}}{2 x + 3 y} = 16 x^{4} - 24 x^{3} y + 36 x^{2} y^{2} - 54 x y^{3} + 81 y^{4}$
$\frac{25 - {(a + 1)}^{2}}{5 + (a + 1)} = 4 - a$
$\frac{1 - x^{12}}{1 - x^{4}} = 1 + x^{4} + x^{8}$
$\frac{64 x^{6} - 343 y^{9}}{4 x^{2} - 7 y^{3}} = 16 x^{4} + 28 x^{2} y^{3} + 49 y^{6}$
$\frac{a^{18} - b^{18}}{a^{3} + b^{3}} = a^{15} - a^{12} b^{3} + a^{9} b^{6} - a^{6} b^{9} + a^{3} b^{12} - b^{15}$
$\frac{{(a + x)}^{2} - y^{2}}{(a + x) - y} = a + x + y$
$\frac{1 + x^{11}}{x + 1} = x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1$
$\frac{x^{40} - y^{40}}{x^{8} - y^{8}} = x^{32} + x^{24} y^{8} + x^{16} y^{16} + x^{8} y^{24} + y^{32}$
$\frac{9 - 36 x^{10}}{3 + 6 x^{5}} = 3 - 6 x^{5}$
$\frac{x^{8} - 256}{x - 2} = x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 16 x^{3} + 32 x^{2} + 64 x + 128$