Question

Efetue os produtos e simplifique. a) (x+2) (x+5) b) (2a+1) (a+3) c) (x²+3x) (x-4) d) (x²+3x) (x+4) Alguém me ajuda pfv

Answer 1

Oie, Td Bom?!

a)

$= (x + 2) \: . \: (x + 5)$

$= x \: . \: (x + 5) + 2(x + 5)$

$= x {}^{2} + 5x + 2x + 10$

$= x {}^{2} + 7x + 10$

b)

$= (2a + 1) \: . \: (a + 3)$

$= 2a \: . \: (a + 3) + 1(a + 3)$

$= 2a {}^{2} + 6a + a + 3$

$= 2a {}^{2} + 7a + 3$

c)

$= (x {}^{2} + 3x) \: . \: (x - 4)$

$= x {}^{2} \: . \: (x - 4) + 3x \: . \: (x - 4)$

$= x {}^{3} - 4x {}^{2} + 3x {}^{2} - 12x$

$= x {}^{3} - x {}^{2} - 12x$

d)

$= (x {}^{2} + 3x) \: . \: (x + 4)$

$= x {}^{2} \: . \: (x + 4) + 3x \: . \: (x + 4)$

$= x {}^{3} + 4x {}^{2} + 3x {}^{2} + 12x$

$= x {}^{3} + 7x {}^{2} + 12x$

Att. Makaveli1996