Posted by **Liz** on Sunday, February 3, 2008 at 9:02pm.

Find the coefficient of x³ in the expansion of (2x+5)^6

- math -
**Damon**, Sunday, February 3, 2008 at 9:24pm
From your last question:

a^6 + 6 a^5 b + 15 a^4 b^2 + 20 a^3 b^3 + 15 a^2 b^4 + 6 a b^5 + b^6

Here a = 2x

and

b = 5

so if you are looking for the x^3 term, it is found in the middle

or

20 a^3 b^3

or

20 * (2x)^3 * 5^3

= 20 * 8 * 125 x^3

=20,000 x^3

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