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Middle Terms

Find the midd...

Question

Find the middle term in the expansion of $(2 x + 3 y)$ $^{8}$ .

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Solution

Since n is even number, ${(\frac{8}{2} + 1)}^{t h}$
term i.e., 5th term is the middle term in (2x + 3y) $^{8}$ .
$T_{5} = T_{4 + 1} =^{8} C_{4} (2 x)^{8 - 4} (3 y)^{4} =^{8} C_{4} (2 x)^{4} (3 x)^{4}$

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