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365371
14.10.2020 •
Mathematics
The coefficients in the expansion of (x + y)4
are
O A. 1, 4, 6, 4, 1
OB. 0, 1, 4, 6, 4, 1, 0
C. 0, 4, 6, 4,0
D. 1, 4, 6, 6, 4, 1
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Ответ:
A
Step-by-step explanation:
Notice: The literal factors are all the combinations of a and b where the sum of the exponents is 4: a4, a3b, a2b2, ab3, b4.
The degree of each term is 4.
The first term is actually a4b0, which is a4 · 1.
Thus to "expand" (a + b)5, we would anticipate the following terms, in which the sum of all the exponents is 5:
(a + b)5 = ? a5 + ? a4b + ? a3b2 + ? a2b3 + ? ab4 + ? b5
The question is, What are the coefficients?
They are called the binomial coefficients. In the expansion of
(a + b)4, the binomial coefficients are
1 4 6 4 1
Ответ:
Z = 160
Step-by-step explanation:
45/100 = 72/z
72 x 100 = 7200
7200/45 = 160