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Find the Ratio of the Following in the Simplest Fcrm: - ICSE Class 10 - Mathematics

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Question

Find the ratio of the following in the simplest fcrm: 

a4 + b4 and a3 - b3 

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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APPEARS IN

 Frank Solution for Frank Class 10 Mathematics Part 2 (2016 to Current)
Chapter 9: Ratio and Proportion
Exercise 9.1 | Q: 1.4

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Solution Find the Ratio of the Following in the Simplest Fcrm: Concept: Ratios.
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