To find the variable terms in the expansion of (2a + 4b)^8, we need to consider the terms that involve both 'a' and 'b'.
Looking at the possible terms:
a^2b^3 - This is a valid term since it involves both 'a' and 'b' raised to powers greater than zero.
a^8 - This is not a valid term because 'b' does not appear in it.
a^5b^3 - This is a valid term since it involves both 'a' and 'b' raised to powers greater than zero.
ab^8 - This is a valid term since it involves both 'a' and 'b' raised to powers greater than zero.
a^3b^5 - This is a valid term since it involves both 'a' and 'b' raised to powers greater than zero.
a^7b - This is a valid term since it involves both 'a' and 'b' raised to powers greater than zero.
a^6b^5 - This is a valid term since it involves both 'a' and 'b' raised to powers greater than zero.
b^8 - This is not a valid term because 'a' does not appear in it.
Therefore, the possible variable terms in the expansion of (2a + 4b)^8 are: a^2b^3, a^5b^3, ab^8, a^3b^5, a^7b, and a^6b^5.
In the expansion of (2a + 4b)8, which of the following are possible variable terms? Explain your reasoning.
a2b3; a8; a5b3; ab8; a3b5; a7b; a6b5; b8
1 answer