Answer:
hi sis
remember me??
actually i forgot your name
I'm so sorry for that
plz can u give your intro again??
Explanation:
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thn i m ur unnie Anne
nice to meet u ✧◝(⁰▿⁰)◜✧
given: Expression is (x + 2y)9
General term of a binomial expansion (a + b)n is Tr + 1 = nCr an - rbr
For (x + 2y)9, putting n =9, a = x, b = 2y
Tr + 1 = 9Cr (x)9 - r.(2y)r
Tr + 1 = 9Cr (x)9 - r.(y)r.(2)r
Comparing with x6y3, we get
⇒ r = 3
Tr + 1 = 9C3 (x)9 - 3.(y)3.(2)3
= 9C3(2)3 × x6 × y3
= 84 × 8 × x6y3
= 672 x6y3
Hence, the coefficient of x6y3 is 672.
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Answers & Comments
Answer:
hi sis
remember me??
actually i forgot your name
I'm so sorry for that
plz can u give your intro again??
Explanation:
Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Tap on a clip to paste it in the text box.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.
thn i m ur unnie Anne
nice to meet u ✧◝(⁰▿⁰)◜✧
given: Expression is (x + 2y)9
General term of a binomial expansion (a + b)n is Tr + 1 = nCr an - rbr
For (x + 2y)9, putting n =9, a = x, b = 2y
Tr + 1 = 9Cr (x)9 - r.(2y)r
Tr + 1 = 9Cr (x)9 - r.(y)r.(2)r
Comparing with x6y3, we get
⇒ r = 3
Tr + 1 = 9C3 (x)9 - 3.(y)3.(2)3
= 9C3(2)3 × x6 × y3
= 84 × 8 × x6y3
= 672 x6y3
Hence, the coefficient of x6y3 is 672.