Question

Por favor, me ajudem

1- Fatore os polinômios , colocando em evidência o fator comum em cada um deles:

a) 4r +12

b)5x-20

c) x(x-4)+6(x-4)

d) a² + ab + a

e) x² - xy

f) 15x³ + 10x² - 5xy

Answer 1

a)
= 4r +12
= 4(r + 3)

b)
= 5x - 20
= 5(x - 4)

c) x(x-4)+6(x-4)
= (x - 4).(x + 6)

d)
a² + ab + a = a(a + b + 1)

e)
= x² - xy = x.(x - y)

f) 15x³ + 10x² - 5xy = 5x(3x² + 2x - y)

Answer 2

$a)~~ 4r +12\to~~ \boxed{ 4(r+3)}\\\\\\\\b)~~5x-20\to~~\boxed{ 5(x-4)}\\\\\\\\ c) ~~x(x-4)+6(x-4)\to~~x^2-4x+6x-24\to~~x^2+2x-24\to\\\\ \boxed{(x-4)(x+6) }$


$d)~~ a^2 + ab + a\to~~\boxed{a(a+b+1)}\\\\\\\\e)~~ x^2 - xy\to~~\boxed{x(x-y)}\\\\\\\\f) ~~15x^3 + 10x^2 - 5xy\to~~\boxed{5x(3x^2+2x-y)}$