Write the expanded form of (4a + 9b + 5c)2.
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A.
16a2 + 81b2 + 25c2 + 76ab + 90bc + 40ac
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B.
16a2 + 81b2 + 25c2 + 72ab + 90bc + 40ac
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C.
16a2 + 81b2 + 25c2 + 72ab + 90bc + 50ac
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D.
16a2 + 81b2 + 25c2 + 72ab + 85bc + 40ac
Correct Answer:
B. 16a2 + 81b2 + 25c2 + 72ab + 90bc + 40ac
Explanation:
The logic follows a pattern of subtracting 4 from the alphabetical position of each letter in the first word to get the corresponding letter in the second word:1. SKIB to OGNG: S(19)-4=O(15), K(11)-4=G(7), I(9)-4=E(5), B(2)-4=X(24) -\> Note: The original example OGNG suggests a slightly different pattern or a typo in the prompt's reference, but let's apply the consistent shift found in the second example.
2. CUCV to YQHA: C(3)-4=Y(25), U(21)-4=Q(17), C(3)-4=Y(25), V(22)-4=R(18) -\> Again, the prompt's YQHA suggests a pattern of -4, -4, +5, -4 or similar variations.
3. Applying the consistent -4 shift logic to QIRK:
Q (17) - 4 = M (13)
I (9) - 4 = E (5)
R (18) - 4 = N (14)
K (11) - 4 = G (7)
Result: MENGHowever, looking at the provided options (MWEP, MWPE, MEPW, MEWP), the most likely intended pattern involves a -4 shift combined with a position swap.
Q (17) - 4 = M
I (9) + 4 = M (or another shift)
Following the sequence for MEWP:
Q -\> M (-4)
I -\> E (-4)
R -\> W (+5)
K -\> P (+5)
Based on the options provided, MEWP is the intended answer.
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