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If m:n = 13:11, find m\(^2\) - n\(^2\) : (m + n)\(^2\)

If m:n = 13:11, find m\(^2\) - n\(^2\) : (m + n)\(^2\)

A.

1:11

B.

1:13

C.

1:10

D.

1:12

View answer & explanation

Correct answer is D

m : n = 13 : 11
m\(^2\) - n\(^2\) : (m + n)2
= 13\(^2\) - 11\(^2\) : (13 + 11)\(^2\)
= 169 - 121 : 24\(^2\)
= 48 : 576
= 1 : 12

 

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