anonymous
  • anonymous
In the expansion of (3a + 4b)^8, which of the following are possible variable terms? Explain your reasoning. a^2b^3; a^5b^3; ab^8; b^8; a^4b^4; a^8; ab^7; a^6b^5 EXPANSION FOR (3a+4b)^8 IS 6561a^8+69984a^7b+326592a^6b^2+870912a^5b^3+1451520a^4b^4+1548288a^3b^5+1032192a^2b^6+393216ab^7+65536b^8
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Notice that in every term, the sum of the exponents of a and b is 8. Which of the answers meet this condition?
anonymous
  • anonymous
ab^8; a^8; b^8 @ospreytriple ???
anonymous
  • anonymous
Consider \(ab^8\). The exponent of a is 1, and the exponent of b is 8, making the sum of the exponents 9, so it can't be one of the correct choices. Don't forget: just because an exponent isn't written doesn't mean there isn;t one, it is assumed to be 1.

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anonymous
  • anonymous
There are other correct choices as well. Remember, the sum of the exponents must be 8.
anonymous
  • anonymous
okay thank you so much :) @ospreytriple
anonymous
  • anonymous
You're welcome

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