а) [tex]\frac{5x-5y}{(y-x)(y+x)}= \frac{5(x-y)}{(y-x)(y+x)}= \frac{5}{y+x}[/tex]
б) [tex]\frac{x^{2} +6x+9}{3x+9}= \frac{(x+3)^{2}}{3(x+3)}= \frac{(x+3)(x+3)}{3(x+3)}= \frac{x+3}{3}[/tex]
в) [tex]\frac{x^{2}-8 x+16}{x^{2} -16}=\frac{(x-4)^2}{(x-4)(x+4)} =\frac{(x-4)(x-4)}{(x-4)(x+4)}=\frac{x-4}{x+4}[/tex]
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а) [tex]\frac{5x-5y}{(y-x)(y+x)}= \frac{5(x-y)}{(y-x)(y+x)}= \frac{5}{y+x}[/tex]
б) [tex]\frac{x^{2} +6x+9}{3x+9}= \frac{(x+3)^{2}}{3(x+3)}= \frac{(x+3)(x+3)}{3(x+3)}= \frac{x+3}{3}[/tex]
в) [tex]\frac{x^{2}-8 x+16}{x^{2} -16}=\frac{(x-4)^2}{(x-4)(x+4)} =\frac{(x-4)(x-4)}{(x-4)(x+4)}=\frac{x-4}{x+4}[/tex]