Mohon bantuannyaaa :).... Question from @cellinenathasya

October 2018 2 46 Report

Mohon bantuannyaaa :)

Brant 3^2x+1 - 26 . 3^x - 9

Kita misalkan 3^x = A,
berarti :
= 3A^2 - 26A - 9
= (3A^2 + A) - (27A - 9)
= A(3A + 1) - 9 (3A +1)
= (3A + 1)(A-9)

Substitusikan kembali A = 3^x

Jadi,
( 3 . 3^x + 1)(3^x -9)
Jawaban : B

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bgimma33 $$\begin{align}\bold{agar~lebih~mudah~mengerjakan~cobalah~untuk~memisalkan~:} \\ \\ \bold{3^x~=~a} \\ \\ \end{align}$

$$\begin{align}\bold{3^{2x+1}-26(3^x)-9~~~~&=~\bold{3.3^{2x}-26(3^x)-9}} \\ &=~\bold{3a^2-26a-9} \\ &=~\bold{(a-9)(3a+1)} \\ &=~\bold{sekarang~kita~ganti~kebentuk~angka} \\ &=~\bold{(3^x-9)(3.3^x+1)} \\ &=~\boxed{\bold{B.}}\end{align}$

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