Question

Find the 4th term in the expansion (2x + 3y)⁷

Answer 1

Step-by-step explanation:

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Answer 2

Solution:

$\sf{The \: general \: term \: T_{r+1} \: in \: (2x + 3y)^7} \\ \\ \implies \sf{T_{r+1} = \: ^{n}C_rx^{n-r}.a^r} \\ \\ \implies\sf{T_{r+1} = 7c_r{(2x)}^{7 - r}.{(3y)}^{r}}$

To Find the 4th term,put r = 3 we get.

$\implies \sf{T_4=\:^7C_3{(2x)}^{7-3}(3y)^r} \\ \\ \implies \sf{T_4 = 35 \times 16 {x}^{4}27{y}^{3}} \\ \\ \implies \sf{T_4 = 15120 \: {x}^{4} {y}^{3}}$

• Therefore,The 4th term is 15120 x⁴y³.

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