Tolong jawab nomor 6-9 penting banget

maaf mba gambar nya kurang jelas

6) [tex]\frac{x}{x+y}[/tex] + [tex]\frac{y}{x-y}[/tex] = [tex]\frac{x(x-y)}{(x+y)(x-y)}[/tex] + [tex]\frac{y(x+y)}{(x-y)(x+y)}[/tex] = [tex]\frac{x(x-y)+y(x+y)}{(x-y)(x+y)}[/tex] = [tex]\frac{x^{2}-xy+xy+y^{2}}{x^{2}-y^{2}}[/tex] = [tex]\frac{x^{2}+y^{2}}{x^{2}-y^{2}}[/tex]

7) [tex]\frac{\frac{x^{2}+y^{2}}{x+y}}{\frac{x}{y}+\frac{y}{x}}[/tex] = [tex]\frac{\frac{x^{2}+y^{2}}{x+y}}{\frac{x(x)}{y(x)}+\frac{y(y)}{x(y)}}[/tex] = [tex]\frac{\frac{x^{2}+y^{2}}{x+y}}{\frac{x(x)+y(y)}{y(x)}[/tex] = [tex]\frac{x^{2}+y^{2}}{x+y}[/tex] : [tex]\frac{x(x)+y(y)}{y(x)} = [tex]\frac{x^{2}+y^{2}}{x+y}[/tex] x [tex]\frac{y(x)}{x(x)+y(y)}[/tex] = [tex]\frac{x^{2}+y^{2}}{x+y}[/tex] x [tex]\frac{xy}{x^{2}+y^{2}}[/tex] = [tex]\frac{xy}{x+y}[/tex]

8) [tex]\frac{x^{2}-5x-6}{x+1}[/tex] = [tex]\frac{(x-6)(x+1)}{x+1}[/tex] = x - 6

9) [tex]\frac{3x^{2}-27}{x^{2}+2x-3}[/tex] = [tex]\frac{3(x^{2}-9)}{(x-1)(x+3)}[/tex] = [tex]\frac{3(x-3)(x+3)}{(x-1)(x+3)}[/tex] = [tex]\frac{3(x-3)}{(x-1)}[/tex] = [tex]\frac{3x-9}{x-1}[/tex]