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a)![-\frac{y^{5}}{y^{4}} = - y -\frac{y^{5}}{y^{4}} = - y](https://tex.z-dn.net/?f=+-%5Cfrac%7By%5E%7B5%7D%7D%7By%5E%7B4%7D%7D+%3D+-+y)
б)![\frac{y(x+2)(y-3)}{ x^{2} (x+2)y^{2}}=\frac{y-3}{x^{2}y} \frac{y(x+2)(y-3)}{ x^{2} (x+2)y^{2}}=\frac{y-3}{x^{2}y}](https://tex.z-dn.net/?f=+%5Cfrac%7By%28x%2B2%29%28y-3%29%7D%7B+x%5E%7B2%7D+%28x%2B2%29y%5E%7B2%7D%7D%3D%5Cfrac%7By-3%7D%7Bx%5E%7B2%7Dy%7D)
2.![\frac{3a^{2}-12b^{2}}{a^{2}+4ab+4b^{2}} =\frac{3(a^{2}-4b^{2})}{(a+2b)^{2}}=\frac{3(a-2b)(a+2b)}{(a+2b)^{2}}=\frac{3(a-2b)}{a+2b} \frac{3a^{2}-12b^{2}}{a^{2}+4ab+4b^{2}} =\frac{3(a^{2}-4b^{2})}{(a+2b)^{2}}=\frac{3(a-2b)(a+2b)}{(a+2b)^{2}}=\frac{3(a-2b)}{a+2b}](https://tex.z-dn.net/?f=+%5Cfrac%7B3a%5E%7B2%7D-12b%5E%7B2%7D%7D%7Ba%5E%7B2%7D%2B4ab%2B4b%5E%7B2%7D%7D+%3D%5Cfrac%7B3%28a%5E%7B2%7D-4b%5E%7B2%7D%29%7D%7B%28a%2B2b%29%5E%7B2%7D%7D%3D%5Cfrac%7B3%28a-2b%29%28a%2B2b%29%7D%7B%28a%2B2b%29%5E%7B2%7D%7D%3D%5Cfrac%7B3%28a-2b%29%7D%7Ba%2B2b%7D)
3.![\frac{2a^{3}+2b^{3}}{a^{2}-b^{2}}=\frac{2(a^{3}+b^{3})}{a^{2}-b^{2}}=\frac{2(a+b)(a^{2}-ab+b^{2})}{(a-b)(a+b)}=\frac{2(a^{2}-ab+b^{2})}{a-b} \frac{2a^{3}+2b^{3}}{a^{2}-b^{2}}=\frac{2(a^{3}+b^{3})}{a^{2}-b^{2}}=\frac{2(a+b)(a^{2}-ab+b^{2})}{(a-b)(a+b)}=\frac{2(a^{2}-ab+b^{2})}{a-b}](https://tex.z-dn.net/?f=+%5Cfrac%7B2a%5E%7B3%7D%2B2b%5E%7B3%7D%7D%7Ba%5E%7B2%7D-b%5E%7B2%7D%7D%3D%5Cfrac%7B2%28a%5E%7B3%7D%2Bb%5E%7B3%7D%29%7D%7Ba%5E%7B2%7D-b%5E%7B2%7D%7D%3D%5Cfrac%7B2%28a%2Bb%29%28a%5E%7B2%7D-ab%2Bb%5E%7B2%7D%29%7D%7B%28a-b%29%28a%2Bb%29%7D%3D%5Cfrac%7B2%28a%5E%7B2%7D-ab%2Bb%5E%7B2%7D%29%7D%7Ba-b%7D)
![\frac{2*(2^{2}-2*3+3^{2})}{2-3}=\frac{2*(4-6+9)}{-1}=-2*(4-6+9)=-2*7=-14 \frac{2*(2^{2}-2*3+3^{2})}{2-3}=\frac{2*(4-6+9)}{-1}=-2*(4-6+9)=-2*7=-14](https://tex.z-dn.net/?f=+%5Cfrac%7B2%2A%282%5E%7B2%7D-2%2A3%2B3%5E%7B2%7D%29%7D%7B2-3%7D%3D%5Cfrac%7B2%2A%284-6%2B9%29%7D%7B-1%7D%3D-2%2A%284-6%2B9%29%3D-2%2A7%3D-14)
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