Question

alguem pode me ajudar f) X5 – X3Y2 g) x6 + 2x4 + ax² + 2a h) by² - 2b + cy² - 2c i) x³ - 10x² + xy - 10y

Answer 1

Oie, Td Bom?!

f)

$= x {}^{5} - x {}^{3} y {}^{2}$

$= x {}^{3} \: . \: (x {}^{2} - y {}^{2} )$

$= x {}^{3} \: . \: (x - y) \: . \: (x + y)$

g)

$= x {}^{6} + 2x {}^{4} + ax {}^{2} + 2a$

$= x {}^{4} \: . \: (x {}^{2} + 2) + a \: . \: (x {}^{2} + 2)$

$= (x {}^{2} + 2) \: . \: (x {}^{4} + a)$

h)

$= by {}^{2} - 2b + cy {}^{2} - 2c$

$= b \: . \: (y {}^{2} - 2) + c \: . \: (y {}^{2} - 2)$

$= (y {}^{2} - 2) \: . \: (b + c)$

i)

$= x {}^{3} - 10x {}^{2} + xy - 10y$

$= x {}^{2} \: . \: (x - 10) + y \: . \: (x - 10)$

$= (x - 10) \: . \: (x {}^{2} + y)$

Att. Makaveli1996