Question-148861

Question Number 148861 by mathdanisur last updated on 31/Jul/21

Answered by dumitrel last updated on 01/Aug/21

{(2 x)}^{4} + 324 = (4 x^{2} - 12 x + 18) (4 x^{2} + 12 x + 18)

f (x) = 4 x^{2} - 12 x + 18 \Rightarrow f (x + 3) = 4 x^{2} + 12 x + 18

{(2 x)}^{4} + 324 = f (x) \cdot f (x + 3)

\frac{f (5) f (8) f (11) f (14) f (17) f (20) f (23) f (26) f (29) f (32)}{f (2) f (5) f (8) f (11) f (14) f (17) f (20) f (23) f (26) f (29)} = \frac{f (32)}{f (2)} = 373

Commented by mathdanisur last updated on 01/Aug/21

C o o l, T h a n k Y o u S e r

Commented by mathdanisur last updated on 01/Aug/21

D e a r S e r, a n s w e r : 373

Commented by mathdanisur last updated on 01/Aug/21

S o r r y d e a r S e r, f (32) = ? a n d f (2) = ?