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What is the 4th term of (2x+y)^7?

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To expand the binomial (2x+y)^7, we can use the binomial theorem. The general term of the expansion is given by:

T(r+1) = C(7,r) * (2x)^{7-r} * y^r

where C(7,r) is the binomial coefficient, which is equal to 7! / (r! * (7-r)!).

To find the 4th term, we need to substitute r = 3 into the above formula:

T(4) = C(7,3) * (2x)^4 * y^3

= (7! / (3! * 4!)) * (2x)^4 * y^3

= (35) * 16x^4 * y^3

= 560x^4y^3

Therefore, the 4th term of (2x+y)^7 is 560x^4y^3.
User Kyle Savage
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