Question

desenvolva e depois simplifique os termos das seguintes potências? a) (1-5p) elevado a 5 b). (x -y) elevado a 6 c) (2a - 2b elevado a 3) elevado a 3 d) (x elevado a 3 2xy) elevado a 3

Answer 1

a) (1-5p)^5 = C5,0.(1)^5.(-5p)^0+C5,1.(1)^4.(-5p)^1+C5,2.(1)^3.(-5p)^2
+C5,3.(1)^2.(-5p)^3+C5,4.(1)^1.(-5p)^4+C5,5.(1)^0.(-5p)^5 

(1-5p)^5 = 1 - 25p + 250p^2 - 2500p^3 + 3125p^4 - 3125p^5

C5,0.(1)^5.(-5p)^0 = 1.1.1 = 1
C5,1.(1)^4.(-5p)^1= 5.1.(-5p) = - 25p
C5,2.(1)^3.(-5p)^2 = 5.2.25p = 250p^2C5,3.(1)^2.(-5p)^3= 5.4.(-125p^3) = - 2500p^3
C5,4.(1)^1.(-5p)^4= 5. 625p^4 = 3125p^4
C5,5.(1)^0.(-5p)^5= 1.1.(-3125p^5) = - 3125p^5========================================================

b). (x -y)^6

c) (2a - 2b^3)^3

d) (x^3 2xy) elevado a 3