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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
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

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Notice that in every term, the sum of the exponents of a and b is 8. Which of the answers meet this condition?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ab^8; a^8; b^8 @ospreytriple ???

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Consider \(ab^8\). 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.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0There are other correct choices as well. Remember, the sum of the exponents must be 8.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay thank you so much :) @ospreytriple
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