Question

16,5^4 - 15,5^4

____________________

3^2 * 5,5^2 + 3,1^2 * 25

Answer 1

$frac{16,5^4-15,5^4}{3^2*5,5^2+3,1^2*25}=frac{(16,5^2-15,5^2)(16,5^2+15,5^2)}{(3*5,5)^2+(3,1*5)^2}=\ \ =frac{(16,5^2-15,5^2)(16,5^2+15,5^2)}{16,5^2+15,5^2}=16,5^2-15,5^2=\ \ =(16,5-15,5)(16,5+15,5)=1*32=32$

 

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Answer 2

$frac{16,5^4-15,5^4}{3^2*5,5^2+3,1^2*25}=frac{(16,5^2-15,5^2)(16,5^2+15,5^2)}{(3*5,5)^2+(3,1*5)^2}=frac{(16,5^2-15,5^2)(16,5^2+15,5^2)}{16,5^2+15,5^2}=16,5^2-15,5^2=(16,5-15,5)(16,5+15,5)=1*32=32$