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anonymous

  • one year ago

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

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  1. anonymous
    • one year ago
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    Notice that in every term, the sum of the exponents of a and b is 8. Which of the answers meet this condition?

  2. anonymous
    • one year ago
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    ab^8; a^8; b^8 @ospreytriple ???

  3. anonymous
    • one year ago
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    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.

  4. anonymous
    • one year ago
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    There are other correct choices as well. Remember, the sum of the exponents must be 8.

  5. anonymous
    • one year ago
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    okay thank you so much :) @ospreytriple

  6. anonymous
    • one year ago
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    You're welcome

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