Ответ:
на фото
Объяснение:
как делать дополнительное не знаю (
[tex]\displaystyle\\3.\ \\1)\ \frac{9x^2-4}{4x^2-4x+1} :\frac{3x-2}{2x-1} =\frac{(3x)^2-2^2}{(2x)^2-2*2x*1+1^2} *\frac{2x-1}{3x-2}=\\\\\\=\frac{(3x-2)*(3x+2)*(2x-1)}{(2x-1)^2*(3x-2)}=\frac{3x+2}{2x-1} .\\\\\\2)\ \frac{3x+2}{2x-1}+\frac{x+3}{1-2x}=\frac{3x+2}{2x-1} -\frac{x+3}{2x-1}=\frac{3x+2-x-3}{2x-1} =\frac{2x-1}{2x-1}=1.\\\\[/tex]
[tex]\displaystyle\\4.\\1)\ \frac{16}{n^2-16} +\frac{n^2+4n}{n^2+8n+16}=\frac{16}{(n+4)*(n-4)}+\frac{n*(n+4)}{(n+4)^2}=\\\\\\ =\frac{16}{(n+4)*(n-4)}+\frac{n}{n+4} =\frac{16+n*(n-4)}{(n+4)*(n-4)}=\frac{n^2-4n+16}{(n+4)*(n-4).} \\\\2)\\\\\frac{n^2-4n+16}{(n+4)*(n-4)}*\frac{4-n}{64+n^3}= \frac{n^2-4n+16}{(n+4)*(n-4)}*(-\frac{n-4}{n^3+4^3})=\\\\\\=-\frac{n^2-4n+16}{(n+4)*(n-4)}*\frac{n-4}{(n+4)*(n^2-4n+16)}=-\frac{1}{(n+4)^2} .[/tex]
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Answers & Comments
Ответ:
на фото
Объяснение:
как делать дополнительное не знаю (
Ответ:
Объяснение:
[tex]\displaystyle\\3.\ \\1)\ \frac{9x^2-4}{4x^2-4x+1} :\frac{3x-2}{2x-1} =\frac{(3x)^2-2^2}{(2x)^2-2*2x*1+1^2} *\frac{2x-1}{3x-2}=\\\\\\=\frac{(3x-2)*(3x+2)*(2x-1)}{(2x-1)^2*(3x-2)}=\frac{3x+2}{2x-1} .\\\\\\2)\ \frac{3x+2}{2x-1}+\frac{x+3}{1-2x}=\frac{3x+2}{2x-1} -\frac{x+3}{2x-1}=\frac{3x+2-x-3}{2x-1} =\frac{2x-1}{2x-1}=1.\\\\[/tex]
[tex]\displaystyle\\4.\\1)\ \frac{16}{n^2-16} +\frac{n^2+4n}{n^2+8n+16}=\frac{16}{(n+4)*(n-4)}+\frac{n*(n+4)}{(n+4)^2}=\\\\\\ =\frac{16}{(n+4)*(n-4)}+\frac{n}{n+4} =\frac{16+n*(n-4)}{(n+4)*(n-4)}=\frac{n^2-4n+16}{(n+4)*(n-4).} \\\\2)\\\\\frac{n^2-4n+16}{(n+4)*(n-4)}*\frac{4-n}{64+n^3}= \frac{n^2-4n+16}{(n+4)*(n-4)}*(-\frac{n-4}{n^3+4^3})=\\\\\\=-\frac{n^2-4n+16}{(n+4)*(n-4)}*\frac{n-4}{(n+4)*(n^2-4n+16)}=-\frac{1}{(n+4)^2} .[/tex]