Respuestas

2012-05-23T03:08:24+02:00

a (b^{2} -c^{2} ) -bc (b-c) + a^{2}c -a^{2}b

 

= a(b+c)(b-c) -bc (b-c) + a^{2} (c-b)

 

= a (b +c) (b-c)-bc (b-c) - a^{2}(b-c)

 

= (b-c) [a(b+c) -bc - a^{2}]

 

= (b-c)[ a(c-a) + b(a-c)]

 

= (b-c)[-a(a-c) + b(a-c)]

 

= (b-c)(a-c)(b-a)