Question

Simplifique as frações algébricas:

a) 36- a²/ a²+ 7a+6

b) x²+x-6/ x²-4

c) ax+bx-2ay-2by/ax+bx-2ay-2by

Answer 1

a)
$\frac{36- a^{2} }{ a^{2}+7a+6 } = \frac{(6+a)(6-a)}{(a+6)(a+1)} = \frac{6-a}{a+1}$
cancela (6+a) com (a+6)

b)
$\frac{ x^{2}+x-6 }{ x^{2}-4 } = \frac{(x+3)(x-2}{(x+2)(x-2)}= \frac{x+3}{x+2}$

cancela( x-2) com (x-2)

c)
$\frac{ax+bx-2ay-2by}{ax+bx-2ay-2by} =$

$\frac{x(a+b)-2y(a+b)}{x(a+b)-2y(a+b)} = \frac{(x-2y)(a+b)}{(x-2y)(a+b)} =1$

cancela os dois