Divide: (a^{3x} – 26a^{2x} + 156a^{x} – 216) by (a^{2x} – 24a^{x} + 108).
-
A.
ax – 2 -
B.
ax + 2 -
C.
ax – 8 -
D.
ax – 6
Correct Answer: Option A
Explanation
(frac{a^{3x} – 26a^{2x} + 156a^{x} – 216}{a^{2x} – 24a^{x} + 108})
Let (a^{x} = z)
(therefore = frac{z^{3} – 26z^{2} + 156z – 216}{z^{2} – 24y + 108} … (i))
Dividing (i) above, we get (z – 2)
= (a^{x} – 2)