Question

URGENTEEEEEEEEEEEEEEEEEE determine o mínimo múltiplo comum dos polinômios a seguir
a)6x e 2x³+10x²
b)x²-1 e x²-2x+1
c)3x e x-5
d)x²-3x+xy-3y e x²- y²
e)x³+8 e x²+4x+4
f)10x e 5x² - 15x
g)x²-49 e x² + 14x + 49
ME AJUDEM AI PESSOAL (25 pontos heim)

Answer 1

Explicação passo-a-passo:

a)

• 6x = 2.3.x

• 2x³ + 10x² = 2x².(x + 5)

-> mmc = 2.3.x².(x + 5)

mmc = 6x².(x + 5)

mmc = 6x³ + 30x²

b)

• x² - 1 = (x - 1).(x + 1)

• x² - 2x + 1 = (x - 1)²

-> mmc = (x - 1)².(x + 1)

mmc = (x² - 2x + 1).(x + 1)

mmc = x³ - 2x² + x + x² - 2x + 1

mmc = x³ - x² - x + 1

c)

• 3x = 3.x

• x - 5

-> mmc = 3x.(x - 5)

mmc = 3x² - 15x

d)

• x² - 3x + xy - 3y

= x.(x - 3) + y.(x - 3)

= (x - 3).(x + y)

• x² - y² = (x + y).(x - y)

-> mmc = (x + y).(x - y).(x - 3)

mmc = (x² - y²).(x - 3)

mmc = x³ - xy² - 3x² + 3y²

e)

• x³ + 8 = (x + 2).(x² - 2x + 4)

• x² + 4x + 4 = (x + 2)²

-> mmc = (x + 2)².(x² - 2x + 4)

mmc = (x² + 4x + 4).(x² - 2x + 4)

mmc = x⁴ - 2x³ + 4x² + 4x³ - 8x² + 16x + 4x² - 8x + 16

mmc = x⁴ + 2x³ + 8x + 16

f)

• 10x = 2.5.x

• 5x² - 15x = 5x.(x - 3)

-> mmc = 2.5x.(x - 3)

mmc = 10x.(x - 3)

mmc = 10x² - 30x

g)

• x² - 49 = (x - 7).(x + 7)

• x² + 14x + 49 = (x + 7)²

-> mmc = (x + 7)².(x - 7)

mmc = (x² + 14x + 49).(x - 7)

mmc = x³ + 14x² + 49x - 7x² - 98x - 343

mmc = x³ + 7x² - 49x - 343