derrick2420 derrick2420
  • 05-12-2020
  • Mathematics
contestada

write down the first 4 terms in the expansion of (1+2x)^7 ​

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empresskaren
empresskaren empresskaren
  • 05-12-2020
If you don’t know the answer, just type “Love”
If the teacher said it’s wrong.. ask him,

“What is wrong with love?”
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oscar236
oscar236 oscar236
  • 05-12-2020

Answer:

1 + 14x + 84x^2 + 280x^3 or

128x^7 + 448x^6 + 672x^5 + 560x^4.

(see explanation),

Step-by-step explanation:

They are 1^7 + 7C1 1^(7-1)(2x) + 7C2 1^5 (2x)^2 + 7C3 1^4 (2x)^3

= 1 + 14x + 21* 4x^2 + 35*8x^3

= 1 + 14x + 84x^2 + 280x^3

If you require the answer in descending degrees of x by a similar method the answer is:

128x^7 + 448x^6 + 672x^5 + 560x^4.

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