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Dahasolnce [82]
4 years ago
13

Find the 4th term of the expansion of (2a - b)^7.

Mathematics
2 answers:
ankoles [38]4 years ago
4 0

Answer:

-560a^4b^3

Step-by-step explanation:

Given:

(2a - b)^7

By using Binomial theorem:

128a^7 - 448a^6b + 672a^5b^2 - 560a^4b^3 + 280a^3b^4 - 84a^2b^5 + 14ab^6-b^7

Here the fourth term is -560a^4b^3 !

Ronch [10]4 years ago
3 0

Answer:

-560a^4 b^3.

Step-by-step explanation:

The (r + 1)th term of (a + x)^n = nCr a^(n-r) x^r.

So, the 4th term of (2a - b)^7 =  7C3 (2a)(7-3)x^3

=  35*16a^4(-b)^3

= -560a^4 b^3.

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