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antoniya [11.8K]
2 years ago
9

Algebra PLS HELP!!!!!!!!!!!!!

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
4 0

Answer:

C - 53 Degrees

Step-by-step explanation:

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Find the term indecent of x in the expansion of (x^2-1/x)^6
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By the binomial theorem,

\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that

12 - 3k = 0   ===>   3k = 12   ===>   k = 4

which corresponds to the constant coefficient

\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}

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lapo4ka [179]

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9 \times 2 + 2 \times  {5}^{2}  \\  = 18 + 2 \times 25 \\  = 18 + 50 \\  = 68

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