sh1Mmo7dettyleabbie sh1Mmo7dettyleabbie

08-11-2016
Mathematics

Answered

Use the Binomial Theorem to find the binomial expansion of the expression.

(d_5)6

Verified Answer :

syed514 syed514

13-11-2016

By the binomial theorem, the successive binomial coefficients for a 6th power
are:
1, 6, 15, 20, 15, 6, 1

So,
(d-5)^6 = d^6 + 6d^5(-5) + 15d^4(-5)^2 + 20d^3(-5)^3 + 15d^2(-5)^4 + 6d(-5)^5 + (-5)^6
= d^6 - 30d^5 + 375d^4 - 2500d^3 + 9375d^2 - 18750d + 15625

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