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If m n 13 111 find m2 - n2 m n 2 - JAMB Mathematics 2006 Question

If m:n = 13:111, find m2 - n2 : (m + n)2
A
1:11
B
1:13
C
1:10
D
1:12
correct option: d
m : n = 13 : 11
m2 - n2 = (m - n)2
= 132 - 112 : (13 + 11)2
= 169 - 121 : 242
= 48 : 576
= 1 : 12
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