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Question
Find the ratio of the following in the simplest fcrm:
a4 + b4 and a3 - b3
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Solution
`("a"^4 + "b"^4)/("a"^3 - "b"^3)`
`= (("a" - "b")("a"^3 + "ab"^2 +"a"^2"b" + "b"^3))/(("a" - "b")("a"^2 + "ab" + "b"^2))`
=`("a"^3 + "ab"^2 + "a"^2"b" + "b"^3)/("a"^2 + "ab" + "b"^2)`
= `"a"^3 + "ab"^2 + "a"^2"b" + "b"^3 : "a"^2 + "ab" + "b"^2`
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