1) ![image](https://tex.z-dn.net/?f=%5Cfrac%7B4c-3d%7D%7Bcd%7D%20-%5Cfrac%7Bc-3d%7D%7Bc%7D%20%3D%5Cfrac%7B4c-3d%7D%7Bcd%7D-%5Cfrac%7Bd%2A%28c-3d%29%7D%7Bcd%7D%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B4c-3d-cd%2B3d%7D%7Bcd%7D)
=\frac{4c-3d-cd+3d}{cd}" alt="\frac{4c-3d}{cd} -\frac{c-3d}{c} =\frac{4c-3d}{cd}-\frac{d*(c-3d)}{cd}
=\frac{4c-3d-cd+3d}{cd}" align="absmiddle" class="latex-formula">=![image](https://tex.z-dn.net/?f=%5Cfrac%7B4c-cd%7D%7Bcd%7D%20%3D%5Cfrac%7Bc%284-d%29%7D%7Bcd%7D%20%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B4-d%7D%7Bd%7D)
=\frac{4-d}{d}" alt="\frac{4c-cd}{cd} =\frac{c(4-d)}{cd}
=\frac{4-d}{d}" align="absmiddle" class="latex-formula">
2) ![image](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B5%7D%7Bx-5%7D%20-%5Cfrac%7Bx-1%7D%7Bx%2B5%7D%20%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B%28x%2B5%29%5E%7B2%7D%7D%7B%28x%2B5%29%28x-5%29%20%7D%20-%5Cfrac%7B%28x-1%29%28x-5%29%7D%7B%28x-5%29%28x%2B5%29%7D)
=\frac{(x+5)^{2}}{(x+5)(x-5) } -\frac{(x-1)(x-5)}{(x-5)(x+5)}" alt="\frac{x+5}{x-5} -\frac{x-1}{x+5}
=\frac{(x+5)^{2}}{(x+5)(x-5) } -\frac{(x-1)(x-5)}{(x-5)(x+5)}" align="absmiddle" class="latex-formula">=
=
![\frac{x^{2}+10 x+25-x^{2}+6x-5 }{x^{2} -25 } =\frac{16x-20}{x^{2}-25} \frac{x^{2}+10 x+25-x^{2}+6x-5 }{x^{2} -25 } =\frac{16x-20}{x^{2}-25}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%2B10%20x%2B25-x%5E%7B2%7D%2B6x-5%20%7D%7Bx%5E%7B2%7D%20-25%20%7D%20%3D%5Cfrac%7B16x-20%7D%7Bx%5E%7B2%7D-25%7D)
3) ![x+\frac{1}{x} =\frac{x^{2} }{x} +\frac{1}{x} =\frac{x^{2} +1}{x} x+\frac{1}{x} =\frac{x^{2} }{x} +\frac{1}{x} =\frac{x^{2} +1}{x}](https://tex.z-dn.net/?f=x%2B%5Cfrac%7B1%7D%7Bx%7D%20%3D%5Cfrac%7Bx%5E%7B2%7D%20%7D%7Bx%7D%20%2B%5Cfrac%7B1%7D%7Bx%7D%20%3D%5Cfrac%7Bx%5E%7B2%7D%20%2B1%7D%7Bx%7D)
![image](https://tex.z-dn.net/?f=4%29%20%5Cfrac%7B32a%5E%7B5%7D%7D%7B15y%5E%7B3%7D%7D%3A%5Cfrac%7B4a%5E%7B3%7D%20%7D%7B45y%5E%7B4%7D%7D%20%20%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B32a%5E%7B5%7D%2A45y%5E%7B4%7D%20%20%7D%7B15y%5E%7B3%7D4a%5E%7B3%7D%20%20%7D)
=\frac{32a^{5}*45y^{4} }{15y^{3}4a^{3} }" alt="4) \frac{32a^{5}}{15y^{3}}:\frac{4a^{3} }{45y^{4}}
=\frac{32a^{5}*45y^{4} }{15y^{3}4a^{3} }" align="absmiddle" class="latex-formula">=![\frac{8*4a^{2}*a^{3} *15*3*y^{3}*y }{15y^{3}*4a^{2} } =\frac{8*a^{2}*3y }{1} =24a^{2} y \frac{8*4a^{2}*a^{3} *15*3*y^{3}*y }{15y^{3}*4a^{2} } =\frac{8*a^{2}*3y }{1} =24a^{2} y](https://tex.z-dn.net/?f=%5Cfrac%7B8%2A4a%5E%7B2%7D%2Aa%5E%7B3%7D%20%2A15%2A3%2Ay%5E%7B3%7D%2Ay%20%20%7D%7B15y%5E%7B3%7D%2A4a%5E%7B2%7D%20%20%7D%20%3D%5Cfrac%7B8%2Aa%5E%7B2%7D%2A3y%20%7D%7B1%7D%20%3D24a%5E%7B2%7D%20y)