Question

Determine o resultado a multiplicação a)dos polinômios(4x+2).(2x+1)
b)2x.(3x-²4).(6x²+4)
c)6x²-4).(6x²+4)
d)x²-x-1).(x-3)

Answer 1

Oie, Td Bom?!

>>> Resolvendo os polinômios.

a)

$(4x + 2) \: . \: (2x + 1)$

$4x \: . \: 2x + 4x + 2 \: . \: 2x + 2$

$8x {}^{2} + 4x +4x + 2$

$8x {}^{2} + 8x + 2$

b)

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

$(6x {}^{3} - 8x) \: . \: (6x {}^{2} + 4)$

$36x {}^{5} + 24x {}^{3} - 48x {}^{3} - 32x$

$36x {}^{5} - 24x {}^{3} - 32x$

c)

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

$6x {}^{2} \: . \: 6x {}^{2} + 6x {}^{2} \: . \: 4 - 4 \: . \: 6x {}^{2} - 4 \: . \: 4$

$36x {}^{4} + 24x {}^{2} - 24x {}^{2} - 16$

$36x {}^{4} - 16$

d)

$(x {}^{2} - x - 1) \: . \: (x - 3)$

$x {}^{2} \: . \: (x - 3) - x \: . \: (x - 3) - 1(x - 3)$

$x {}^{3} - 3x {}^{2} - x {}^{2} + 3x - x + 3$

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

Att. Makaveli1996