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![1) 3ab/2 a^{2}x+2 a^{3} =3ab/2 a^{2}(x+a)=3b/2a(x+a)=3b /2a(x+a) \\ \\ 2)
xy/3 x^{2} -3x y^{2}=xy/3xy(x-y)=1/3(x-y) \\ \\ 3)2ax+4bx/3ay+6by=2x(a+2b)/3y(a+2b)=2x/3y \\ \\ 4) x^{2} -2x-3/x-3=(x-3)(x+1)/(x-3)=(x+1) \\ \\ 5)10 a^{2} b^{3}c/8 a^{3}-8 a^{2}b= a^{2} b^{3}c/8 a^{2}(a-b)= b^{3}c/8(a-b) \\ \\ 6) x^{2} -4/5ax+10a=(x+2)(x-2)/5a(x+2) =(x-2)/5a \\ \\ 7) 3 x^{2} -4x-15/ x^{2} -5x+6= (3x)^{2}-4(3x)-45/ x^{2} -5x+6 \\ \\ =\frac{[(3x-9)(3x+5)] }{3} /(x-3)(x-2)=(x-3)(3x+5)/(x-3)(x-2) \\=3x+5/x-2](https://tex.z-dn.net/?f=1%29+3ab%2F2+a%5E%7B2%7Dx%2B2+a%5E%7B3%7D+%3D3ab%2F2+a%5E%7B2%7D%28x%2Ba%29%3D3b%2F2a%28x%2Ba%29%3D3b+%2F2a%28x%2Ba%29++%5C%5C++%5C%5C+2%29%0Axy%2F3+x%5E%7B2%7D+-3x+y%5E%7B2%7D%3Dxy%2F3xy%28x-y%29%3D1%2F3%28x-y%29+%5C%5C++%5C%5C+3%292ax%2B4bx%2F3ay%2B6by%3D2x%28a%2B2b%29%2F3y%28a%2B2b%29%3D2x%2F3y+%5C%5C++%5C%5C+4%29+x%5E%7B2%7D+-2x-3%2Fx-3%3D%28x-3%29%28x%2B1%29%2F%28x-3%29%3D%28x%2B1%29+%5C%5C++%5C%5C+5%2910+a%5E%7B2%7D++b%5E%7B3%7Dc%2F8+a%5E%7B3%7D-8+a%5E%7B2%7Db%3D+a%5E%7B2%7D+b%5E%7B3%7Dc%2F8+a%5E%7B2%7D%28a-b%29%3D+b%5E%7B3%7Dc%2F8%28a-b%29+%5C%5C++%5C%5C+6%29+x%5E%7B2%7D+-4%2F5ax%2B10a%3D%28x%2B2%29%28x-2%29%2F5a%28x%2B2%29+%3D%28x-2%29%2F5a+%5C%5C++%5C%5C+7%29+3+x%5E%7B2%7D+-4x-15%2F+x%5E%7B2%7D+-5x%2B6%3D+%283x%29%5E%7B2%7D-4%283x%29-45%2F+x%5E%7B2%7D+-5x%2B6+%5C%5C++%5C%5C+%3D%5Cfrac%7B%5B%283x-9%29%283x%2B5%29%5D+%7D%7B3%7D+%2F%28x-3%29%28x-2%29%3D%28x-3%29%283x%2B5%29%2F%28x-3%29%28x-2%29+%5C%5C%3D3x%2B5%2Fx-2%0A "1) 3ab/2 a^{2}x+2 a^{3} =3ab/2 a^{2}(x+a)=3b/2a(x+a)=3b /2a(x+a) \\ \\ 2)
xy/3 x^{2} -3x y^{2}=xy/3xy(x-y)=1/3(x-y) \\ \\ 3)2ax+4bx/3ay+6by=2x(a+2b)/3y(a+2b)=2x/3y \\ \\ 4) x^{2} -2x-3/x-3=(x-3)(x+1)/(x-3)=(x+1) \\ \\ 5)10 a^{2} b^{3}c/8 a^{3}-8 a^{2}b= a^{2} b^{3}c/8 a^{2}(a-b)= b^{3}c/8(a-b) \\ \\ 6) x^{2} -4/5ax+10a=(x+2)(x-2)/5a(x+2) =(x-2)/5a \\ \\ 7) 3 x^{2} -4x-15/ x^{2} -5x+6= (3x)^{2}-4(3x)-45/ x^{2} -5x+6 \\ \\ =\frac{[(3x-9)(3x+5)] }{3} /(x-3)(x-2)=(x-3)(3x+5)/(x-3)(x-2) \\=3x+5/x-2")
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