Question

Tentukan hasil penjabaran (a+b) pangkat 5

Answer 1

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

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