datboyjulio21
26.12.2019 •
Mathematics
¿que pasa si divido dos numeros decimales? ¡¡necesito una explicacion clara y precisa para explicarla en clase por favor
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Ответ:
6.85/.5=68.5/5
solve
13.7
Ответ:
32x⁵ -240x⁴y +720x³y² -1080x²y³ +810xy⁴ -243y⁵
Step-by-step explanation:
Powers of the first term of the binomial decrease as powers of the second term increase. The sum of their exponents is always 5. The coefficients come from the 6th row of Pascal's triangle (the one with 5 in the second position).
The coefficients are (1, 5, 10, 10, 5, 1), so the expansion is ...
(a+b)⁵ = a⁵ + 5a⁴b +10a³b² +10a²b³ +5ab⁴ +b⁵
where a=2x and b=-3y
Putting those values into the above expansion, we get ...
(2x -3y)⁵ = 32x⁵ -240x⁴y +720x³y² -1080x²y³ +810xy⁴ -243y⁵
It can be easier to work with the ratios of terms. This way, you're not trying to figure out unfamiliar (high) powers of numbers at each step. The first term is (2x)⁵ = 32x⁵. The next term will be b/a = -3y/(2x) times that, multiplied by the ratio of adjacent coefficients from Pascal's triangle:
first term: 32x⁵
second term: (5/1)·(-3y/(2x))·first term = -240x⁴y
third term: (10/5)·(-3y/(2x))·second term = 720x³y²
fourth term: (10/10)·(-3y/(2x))·third term = -1080x²y³
fifth term: (5/10)·(-3y/(2x))·fourth term = 810xy⁴
sixth term: (1/5)·(-3y/(2x))·fifth term = -243y⁵