试分解(x²+x-3)/(x-1)(x-2)(x-3)为最简部分分式.
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Factor the following expressions: a(b + c)² + b(c + a)² + c(a + b)² - 4abc
Factor the following expressions:x(y - z)³ + y(z -x)³ + z(x - y)³
Resolve (1+52x+30x2-24x3)/(3x2-x-1)2 into partial fractions.
Factor the following:4a-16b+4a+1.
Factor the following:4(a-b)²-12(a-b)(e+9e²)
设x+y+z =0,证明: x³ +y³ +z³ = 3xyz
解明：(6x+5)/(8x-15)-(1+8x)/15=(1-x)/3+(3-x)/5
设a:b = x:y，试证 (a³ + 2b³) : ab² = (z³ +2y³) : xy².
变换方程式x4+16x3+89x2+200x+156=0，使其缺第二项,因而求原方程式之根.
Simplify yz(x+a)/(x-y)(x-z)+zx(y+a)/(y-z)(y-x)+xy(z+a)/(z-x)(z-y)
若下式(x+p)(x+2q)+(x+2p)(x+q)为含有x的整平方式，则9p²-14pq+9q²=0.