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katerinafilin
@katerinafilin
August 2022
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СРОЧНО БИНОМ НЬЮТОНА 1. (1-2а)^8. 2.(3б+1/3)^4
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армения20171
(3b+1/3)⁴=(3b)⁴+C(4)1 *(3b)³*1/3+C(4)2
*(3b)²*(1/3)²+C(4)3*(3b)*(1/3)³+(1/3)⁴=
81b⁴+4*27b³*/3+6*9b²*1/9+4*3b*1/27+1/81=
81b⁴+36b³+6b²+4/9 *b+1/81
(1-2a)^(8)=1+C(8)1*1*(-2a)+
C(8)2*1*(-2a)²+C(8)3*1*
(-2a)³+C(8)4*(-2a)⁴+C(8)5*
(-2a)^5+C(8)6*(-2a)^6+
C(8)7*(-2a)^7+(-2a)^8=
1-16a+112a²-448a³+
1120a⁴-1792a^5+1792a^6-
1024a^7+256a^8
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Answers & Comments
*(3b)²*(1/3)²+C(4)3*(3b)*(1/3)³+(1/3)⁴=
81b⁴+4*27b³*/3+6*9b²*1/9+4*3b*1/27+1/81=
81b⁴+36b³+6b²+4/9 *b+1/81
(1-2a)^(8)=1+C(8)1*1*(-2a)+
C(8)2*1*(-2a)²+C(8)3*1*
(-2a)³+C(8)4*(-2a)⁴+C(8)5*
(-2a)^5+C(8)6*(-2a)^6+
C(8)7*(-2a)^7+(-2a)^8=
1-16a+112a²-448a³+
1120a⁴-1792a^5+1792a^6-
1024a^7+256a^8