Question

Desenvolva o produto notavel (x - y)4

Answer 1

Oie, Td Bom?!

$= (x - y) {}^{4}$

$= (x - y) {}^{2 + 2}$

$= (x - y) {}^{2} \: . \: (x - y) {}^{2}$

$= (x {}^{2} - 2xy + y {}^{2} ) \: . \: (x {}^{2} - 2xy + y {}^{2} )$

$= x {}^{2} \: . \: (x {}^{2} - 2xy + y {}^{2} ) - 2xy \: . \: (x {}^{2} - 2xy + y {}^{2} ) + y {}^{2} \: . \: (x {}^{2} - 2xy + y {}^{2} )$

$= x {}^{4} - 2x {}^{3} y + x {}^{2} y {}^{2} - 2x {}^{3} y + 4x {}^{2} y {}^{2} - 2xy {}^{3} + x {}^{2} y {}^{2} - 2xy {}^{3} + y {}^{4}$

$= x {}^{4} - 4x {}^{3} y + 6x {}^{2} y {}^{2} - 4xy {}^{3} + y {}^{4}$

Att. Makaveli1996