Distribute
4x(2x^2-4x+5)-5x(2x+6)
8x^3-16x^2+20x-10x^3-30x
Combine Like Terms
8x^3-16x^2+20x-10x^3-30x
-2x^3-16^2+20x-30x
Combine like terms
-2x^3-16x^2 +20x-30x
-2x^3-16x^2-10x
Common factor
Factor by grouping
-2x^3 - 16x^2-10x
Find one factor
-2(x^3+8x^2+5x)
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Answer:
Guard Two
Step-by-step explanation:
Guard two has the path to the treasure because he's telling people that there's no treasure. That makes him suspicious because he might want the treasure for himself
This is a logic puzzle wherein the guards' statements are evaluated based on the given criteria: only one guard is truthful. Upon analysis, we find that only the path guarded by Guard 2 aligns with this criteria, indicating that this is the path you should take to find the treasure.
This is a classic logic problem, often called the 'Liar and Truth-Teller' puzzle. Here's how we can tackle it:
Guard 1 says: 'The treasure lies down this path.'
Guard 2 says: 'No treasure lies down this path, seek elsewhere.'
Guard 3 says: 'The first guard is lying.'
Since we know that only one guard is telling the truth, let's consider if Guard 1 tells the truth. If so, Guard 2 and Guard 3 would be lying, which contradicts the statement of Guard 3 (who confirms Guard 1's statement as a lie).
If Guard 2 is telling the truth (which means there's no treasure on his path), then both Guard 1 and Guard 3 would be lying, which fits our criteria.
If Guard 3 told the truth, this would mean that Guard 1 is lying, but then Guard 2 would also be telling the truth--this contradicts our initial information (only one guard is truthful).
So, based on these evaluations, you should take the path guarded by Guard 2 because he's the only one telling the truth according to the given criteria.
#SPJ2
(3−2x+2x^2)−(4x−5+3x^2)
Answer:
the difference is that there is (3-2x) at the start instead of (4x-5)
step explanation: