Question

Jabarkan perpangkatan bentuk aljabar berikut a. (x+4)³ b. (a-5)pangkt4 c. (2x+y)³ d. (3p+q)pangkat4

Answer 1

a) (x+4)^3
     = x^3 + 3x^2(4) + 3x(4)^2 + 4^3
     = x^3 + 12x^2 + 48x + 64

b) (a-5)^4
    = a^4 + 4a^3(-5) + 6a^2(-5)^2 + 4a(-5)^3 + (-5)^4
    = a^4 - 20a^3 + 150a^2 -500a + 625

c) (2x+y)^3
   = (2x)^3 + 3(2x)^2(y) + 3(2x)(y)^2 + y^3
   = 8x^3 + 12x^2y + 6xy^2 + y^3

d) (3p+q)^4
   = (3p)^4 + 4(3p)^3(q) + 6(3p)^2(q)^2 + 4(3p)(q)^3 + q^4
  = 81p^4 + 108p^3q + 54p^2q^2 + 12pq^3 + q^4