How do you find the fourth term of ${(2 x + 3 y)}^{9}$ $(2x+3y)^9$ ?

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How do you find the fourth term of ${(2 x + 3 y)}^{9}$ $(2x+3y)^9$ ?

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Answer 1 · 2016-10-24T21:36:24

$217728 x^{6} y^{3}$ $217728x^6y^3$

Explanation:

Using binomial expansion, we know that the fourth term of ${(2 x + 3 y)}^{9} = (^{9} C_{4}) {(2 x)}^{6} {(3 y)}^{3} = (216) (64 x^{6}) (27 y^{3}) = 217728 x^{6} y^{3}$ $(2x+3y)^9 = (""^9"C"_4)(2x)^6(3y)^3=(216)(64x^6)(27y^3)=217728x^6y^3$

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How do you find the fourth term of ${(2 x + 3 y)}^{9}$ $(2x+3y)^9$ ?

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Science

Math

Humanities

... and beyond

How do you find the fourth term of (2x+3y)9(2x+3y)^9?

1 Answer

Explanation:

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Impact of this question

How do you find the fourth term of ${(2 x + 3 y)}^{9}$ $(2x+3y)^9$ ?