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Find the Compounded Ratio of the Following: - ICSE Class 10 - Mathematics

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Question

Find the compounded ratio of the following: 

(a2 - b2 ): (a2 + b2) and (a4 - b4 ): (a+ b)4 

Solution

Compounded ratio of (a2 -b2 ): (a2 + b2 )and(a4 -b4 ) : (a+ b)

=`("a"^2 - "b"^2)/("a"^2 + "b"^2) xx ("a"^4 - "b"^4)/("a" + "b")^4`


= `(("a" + "b")("a" - "b"))/(("a"^2 + "b"^2)) xx (("a"^2 + "b"^2)("a"^2 - "b"^2))/ (("a" + "b")^2 ("a" + "b")^2)`


= `(("a" - "b")("a" + "b")("a" - "b")("a" +"b"))/(("a" + "b")^2 ("a" + "b")^2)`


= `("a - b")^2/("a + b")^2`

Compounded ratio= (a - b)2 : (a+ 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: 8.2

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Solution Find the Compounded Ratio of the Following: Concept: Ratios.
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