Question

find the expansion
of ( a+b )⁴
​

Answer 1

Answer:

a^4+b^4+4a^3b+6a^2b^2+4ab^3

Step-by-step explanation:

We have to find expansion of

( a+b )⁴

=[(a+b)^2]^2

=(a^2+2ab+b^2)^2

=(a^2)^2+(2ab)^2+(b^2)^2+2(a^2)(2ab)+2(2ab)(b^2)+2(b^2)(a^2)

=a^4+b^4+4a^3b+6a^2b^2+4ab^3

Therefore, the answer is a^4+b^4+4a^3b+6a^2b^2+4ab^3.

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