(a^6 – b^6) / (a – b) Use long division method and step-by-step solution#
a^5 + a^4.b + a^3.b^2 + a^2.b^3 + a.b^4 + b^5
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(a – b) ) a^6 – b^6
a^6 – a^5.b
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a^5.b
a^5.b – a^4.b^2
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a^4.b^2
a^4.b^2 - a^3.b^3
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a^3.b^3
a^3.b^3 - a^2.b^4
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a^2.b^4
a^2.b^4 - a.b^5
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a.b^5 – b^6
a.b^5 - b^6
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Answer: (a^6 - b^6) / (a - b) = a^5 + a^4.b + a^3.b^2 + a^2.b^3 + a.b^4 + b^5