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Question
Find the compounded ratio of the following:
(m-n):(m+n), (m+n)2 : (m2+n2) and (m4 - n4): (m2-n2) 2
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Solution
Compounded ratio of (m-n):(m+n), (m+n)2 : (m2+n2) and (m4 - n4): (m2-n2) 2
= `("m - n")/("m + n") xx ("m + n")^2/(("m"^2 + "n"^2))` and `("m"^4 - "n"^4)/("m"^2 - "n"^2)^2`
= `("m" - "n")/1 xx ("m + n")/("m"^2 + "n"^2) xx (("m"^2 + "n"^2) ("m"^2 - "n"^2))/("m"^2 - "n"^2)^2`
= `("m"^2 - "n"^2)/("m"^2 + "n"^2) xx (("m"^2 + "n"^2)("m"^2 - "n"^2))/("m"^2 - "n"^2)^2`
= `1/1`
Compounded ratio = 1 : 1
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