shhdhayk9
Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

What is the expansion of (a + b)4?
o A. a4 + a3b + a2b2 + ab3 + 64
B. a4 + 4a3b + 6a2b2 + 4ab3 + b4
C. a4 + 2a²b + 3a2b2 + 2ab3 + b4
D. a4 + 4a3b - 6a2b2 + 4ab3 – 64​

Sagot :

CSMedrano

Answer:

option B

Step-by-step explanation:

[tex](a+b)^4\\\\=(a+b)^2(a+b)^2\\\\=(a^2+2ab+b^2)(a^2+2ab+b^2)\\\\=a^2(a^2+2ab+b^2)\\\\+2ab(a^2+2ab+b^2)\\\\+b^2(a^2+2ab+b^2)\\\\=a^4+2a^3b+a^2b^2\\\\+2a^3b+4a^2b^2+2ab^3\\\\+a^2b^2+2ab^3+b^4\\\\=a^4+4a^3b+6a^2b^2+4ab^3+b^4[/tex]

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.