Matematika

Pertanyaan

(a²+2ab+b²)(a+b)

coba kalikan, caranya gmna ya?

2 Jawaban

  • (a²*a) +(a²*b) +(2ab*a) +(2ab*b) +(b²*a) +(b²*b)
    = a³+a²b+2a²b+2ab²+ab²+b³
    = a³+3a²b+3ab²+b³

    tanda bintang itu maksudnya dikali ya.. semoga membantu..
  • (a²+2ab+b²) (a+b)
    [tex] = {a}^{3} + {a}^{2} b + 2 {a}^{2} b + 2a {b}^{2} + a {b}^{2} + {b}^{3} \\ = {a}^{3} + ( {a}^{2} b + 2 {a}^{2} b) + (2 a{b}^{2} + a {b}^{2} ) + {b}^{3} \\ = {a}^{3} + {3a}^{2} b + 3a {b}^{2} + {b}^{3} [/tex]



    Caranya :
    a² × a = a^3
    a² × b = a²b

    2ab × a = 2a²b
    2ab × b = 2ab²

    b² × a = ab²
    b² × b = b^3

    Lalu :
    a^3 + a²b + 2a²b + 2ab² + ab² + b^3
    = a^3 + 3a²b + 3ab² + b^3

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