Asked by Jessica
                13.	Write the binomial expansion of (2a – 3b)4.  
            
            
        Answers
                    Answered by
            Henry
            
    (2a - 3b)^4 = 
(2a - 3b)^2 (2a - 3b)^2 =
(2a^2 - 12ab + 9b^2)(2a^2-12ab +9b^2)=
4a^4 - 24a^3b + 18a^2b^2 -
24a^3b + 144a^2b^2 - 108ab^3 +
18a^2b^2 - 108ab^3 + 81b^4.
Combine like-terms:
4a^4 - 48a^3b +180a^2b^2 - 216ab^3 +
81b^4.
The number of terms in the final results is always 1 greater than
thee exponent, and every other
term is positive.
    
(2a - 3b)^2 (2a - 3b)^2 =
(2a^2 - 12ab + 9b^2)(2a^2-12ab +9b^2)=
4a^4 - 24a^3b + 18a^2b^2 -
24a^3b + 144a^2b^2 - 108ab^3 +
18a^2b^2 - 108ab^3 + 81b^4.
Combine like-terms:
4a^4 - 48a^3b +180a^2b^2 - 216ab^3 +
81b^4.
The number of terms in the final results is always 1 greater than
thee exponent, and every other
term is positive.
                                                    There are no AI answers yet. The ability to request AI answers is coming soon!
                                            
                Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.