Jika x = y – 1, tentukanlah nilai dari x – y)¹⁰    ( y – x)⁵                                                        ( x – y ) ⁷  tolong dijawab ya??

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Jika x = y – 1, tentukanlah nilai dari x – y)¹⁰ 
  ( y – x)⁵
                                                       ( x – y ) ⁷
 tolong dijawab ya??

Diketahui: x = y – 1
Ditanyakan: (x-y)^{10}(y-x)^{5}(x-y)^{7}
Jawab:
(x-y)^{10}(y-x)^{5}(x-y)^{7}
maka nilai x disubstitusikan menjadi y-1 ke dalam persamaan
⇔((y-1)-y)^{10}(y-(y-1))^{5}((y-1)-y)^{7}
⇔(y-1-y)^{10}(y-y+1)^{5}(y-1-y)^{7}
⇔(y-y-1)^{10}(y-y+1)^{5}(y-y-1)^{7}
⇔(-1)^{10}(1)^{5}(-1)^{7}
⇔(1)(1)(-1)
⇔(-1)
Jadi, (x-y)^{10}(y-x)^{5}(x-y)^{7} = (-1)

x=y-1\ x-y=-1\ y-x=1\\ frac{(x-y)^{10}(y-x)^5}{(x-y)^7}\\= frac{(-1)^{10}(1)^5}{(-1)^7}\\= frac{(1)(1)}{(-1)}\\=-1