16,5^4 - 15,5^4 ____________________ 3^2 * 5,5^2 + 3,1^2 * 25

Question

16,5^4 - 15,5^4 ____________________ 3^2 * 5,5^2 + 3,1^2 * 25

Алгебра

Гость

Ответ(ы) на вопрос:

Гость

[latex]\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[/latex]

Accepted Answer

[latex]\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[/latex] ................................................................................................................................