Question

Utilize o caso correto e fatore as expressões
a)m²+mx+mb+bx
b)3a²+3+ba²+b
c)x³+3x²+2x+6
d)x³ + x²+x+1
e)x³ -x² + x -1
f)x³ + 2x²+xy+2y
g)x²+2x+5x+10
h)x³ -5x²+4x-20

Answer 1

Utilize o caso correto e fatore as expressões

FATORAR (pegar o TERMO em COMUM

a)m²+mx+mb+bx

m² +  mx + mb + bx

m² + mx + mb + bx
m(m  + x) + b( m + x)
(m + x)(m + b)


b)3a²+3+ba²+b

3a² + 3 + ba² + b
3(a² + 1) + b(a² + 1)
(a² + 1)(3 + b)

c)x³+3x²+2x+6 

x³ + 3x² + 2x + 6
x(x² + 3) +  2(x + 3)
(x² + 3)(x + 2)
 
d)x³ + x²+x+1

x³ + x² + x + 1
x²(x + 1) + 1(x + 1)
(x + 1)(x² + 1)

e)x³ -x² + x -1

x³ - x² + x - 1
x²(x - 1) + 1(x - 1)
(x - 1)(x² + 1)

f)x³ + 2x²+xy+2y

x³ + 2x² + xy + 2y
x²(x + 2) + y(x + 2)
(x + 2)(x² + y)

g)x²+2x+5x+10

x² + 2x + 5x + 10
x(x + 2) + 5( x + 2)
(x + 2)(x + 5)

h)x³ -5x²+4x-20

x³ - 5x² + 4x - 20
x²(x -  5) + 4(x - 5)
( x - 5)(x² + 4)