Question

In the expansion of (3a + 4b)^8, which of the following are possible variable terms?

a2b3; a7b; ab8; b8; a4b4; a6b2; a3b4; a8

i don’t get this can someone please explain

Answer 1

A binomial expression is a two-term algebraic statement with variables, coefficients, exponents, and a constant. The various terms that are possible are a⁷b, b⁸, a⁶b², and a⁸.

What is a binomial expression?

A binomial expression is a two-term algebraic statement with variables, coefficients, exponents, and a constant. x² + 4x is an example of a binomial polynomial.

The variable terms that are possible in the expansion of (3a + 4b)⁸ are terms whose sum of powers is equal to 8.

• a²b³ → 3 + 2 = 5 ⇒ Not possible
• a⁷b → 7 + 1 = 8 ⇒ Possible
• ab⁸ → 1 + 8 = 9 ⇒ Not possible
• b⁸ → 8 ⇒ Possible
• a⁴b⁴  → 4 + 4 = 8 ⇒ Not possible
• a⁶b² → 6 +2 = 8 ⇒ Possible
• a³b⁴ → 3 + 4 = 7 ⇒ Not possible
• a⁸  → 8 ⇒ Possible

Hence, the various terms that are possible are a⁷b, b⁸, a⁶b², and a⁸.

Learn more about Binomial Expression:

https://brainly.com/question/2165968

#SPJ1