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see given attachment
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(a+b)^5
=(a^2+2ab+b^2)(a^2+2ab+b^2)(a+b)
=(a^4+4a^3b+4ab^3+6a^2b^2+b^4)(a+b)
=a^5+5a^4b++5ab^4+10a^3b^2+10a^2b^3+b^5
=(a^2+2ab+b^2)(a^2+2ab+b^2)(a+b)
=(a^4+4a^3b+4ab^3+6a^2b^2+b^4)(a+b)
=a^5+5a^4b++5ab^4+10a^3b^2+10a^2b^3+b^5
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