Question

Fatore as expressões:

a) m(a-1)+p(a-1)-q(a-1)

b)a^4+2a^2b^2+b^4

c)256-t^2

d)4m^2-6m+2my-3y

e)36x+12y+24xy

f)24a+12b-6c-8d

Answer 1

Fatore as expressões: 

a)
m(a-1)+p(a-1)-q(a-1)
(a - 1)(m + p - q)

b)a^4+2a^2b^2+b^4

a⁴ + 2a²b² + b⁴
(a² + b²)(a² + b²) = (a² + b²)²

c)256-t^2
256 - t² =  (16 - t)( 16 + t)

d)4m^2-6m+2my-3y

4m² - 6m + 2my - 3y
2m(2m - 3) + y(2m - 3)
(2m - 3)(2m + y) 

e)36x+12y+24xy

36x + 12y + 24xy = 12(3x +  y + 2xy)


f)24a+12b-6c-8d

24a + 12b - 6c - 8d
2(12a + 6b - 3c - 4d)