Question

Fatore as expressões abaixo. a) 2x2 – 3x + 4xy – 6y b) 12x2 – 21x b)12x2 – 21x c) y4 – 4y2 + 4 d) a2 – 36 d)a2 – 36

Answer 1

Oie, Td Bom?!

a)

$2x {}^{2} - 3x + 4xy - 6y \\ x \: . \: (2x - 3) + 2y \: . \: (2x - 3) \\ (2x - 3) \: . \: (x + 2y)$

b)

$12x {}^{2} - 21x \\ 3x \: . \: (4x - 7)$

c)

$y {}^{4} - 4y {}^{2} + 4 \\ y {}^{2 \: . \: 2} - 2 \: . \: y {}^{2} \: . \: 2 + 2 {}^{2} \\ (y {}^{2} ) {}^{2} - 2 \: . \: y {}^{2} \: . \: 2 + 2 {}^{2} \\ (y {}^{2} - 2) {}^{2}$

d)

$a {}^{2} - 36 \\ a {}^{2} - 6 {}^{2} \\ (a - 6) \: . \: (a + 6)$

Att. Makaveli1996