Question

fatore cada um dos polinomios (agrupamento)

a)ab-b+2a-2=
b)x⁶ +2x⁴+ax² +2a
c)by²-2b+cy²-2c
d)x³-10x²+xy-10y
e)5c+5-ac-a
f)am+bm+an+bn
g)ax+5x+ay+5y
h)a²-a²+a-1
i)10a³b-5ab³+6a²-3b²
j)3a-6y+ab-2by

Answer 1

Explicação passo-a-passo:

a)ab-b+2a-2=

b · (a-1) + 2 · ( a-1 )

(a-1) + (b+2)

b)x⁶ +2x⁴+ax² +2a

x'''' · (x'' + 2) + a ·(x'' + 2)

(x'' + 2) · (x''''+a)

cansei, ai

Answer 2

Resposta:

a) ab - b + 2a - 2 =b.(a - 1) + 2.(a - 1) = (a - 1).(b + 2)

b) x6 + 2x4 + ax² + 2a = x⁴.(x² + 2) + a.(x² + 2) = (x² + 2).(x⁴ + a)  

c) by² - 2b + cy² - 2c =b.(y² - 2) + c.(y² - 2) = (y² - 2).(b + c)

d)x³ - 10x² + xy - 10y =x².(x - 10) + y.(x - 10) = (x - 10).(x² + y)

e) 5c + 5 - ac - a =5.(c + 1) - a.(c + 1) = (c + 1).(5 - a)

f) am + bm + an + bn =m.(a + b) + n.(a + b) = (a + b).(m + n)

g) ax + 5x + ay + 5y = x.(a + 5) + y.(a + 5)  = (a + 5).(x + y)

h) a³ - a² + a – 1 =a².(a - 1) + 1.(a - 1) = (a - 1).(a² + 1)

i)10a³b - 5ab³ + 6a² - 3b² =5ab.(2a² - b²) + 3.(2a² - b²) = (2a² - b²).(5ab + 3)

j) 3a - 6y + ab - 2by =3.(a - 2y) + b.(a - 2y) = (a - 2y).(3 + b)