find the expansion
of ( a+b )⁴
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find the expansionof ( a+b )⁴
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Verified answer
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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