Binomial ( 5x - y ) ^ 10 terms ax ^ 2 y ^8
1 answer:
now, how do we get the coefficients? well, the first coefficient is 1, any subsequent is " the product of the current terms's coefficient and the exponent of the first element, divided by the exponent of the second element in the next term", now that's a mouthful, but for example,
how did get 210 for the 5th expanded term? well is just 120 * 7 / 4
how about 252 of the 6th term? 210 * 6 / 5.
how about 45 of the 9th one? 120 * 3 / 8.
of course, the exponents for each is simple, as you'd already know from the binomial theorem.
so, just expand away the 9th expanded term.
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x = -2.2 → -3 < -2.2 and -2.2 < 4 therefore -3 ≤ -2.2 ≤ 4
x = -2 → -3 < -2 and -2 < 4 therefore -3 ≤ -2 ≤ 4
x = 0 → -3 < 0 and 0 < 4 therefore -3 ≤ 0 ≤ 4
x = 1.5 → -3 < 1.5 and 1.5 < 4 therefore -3 ≤ 1.5 ≤ 4
x = 3 → -3 < 3 and 3 < 4 th≤erefore -3 ≤ 3 ≤ 4
x = 4 → -3 < 4 and 4 = 4 therefore -3 ≤ 4 ≤ 4