$$\frac{ a }{ x-1 } va \frac{ b }{ 1-x }$$
$-\left(\frac{a}{1-x}\right)^{2}bv$
$$\frac{av}{x-1}a\times \frac{b}{1-x}$$
$$\frac{ava}{x-1}\times \frac{b}{1-x}$$
$$\frac{avab}{\left(x-1\right)\left(1-x\right)}$$
$$\frac{a^{2}vb}{\left(x-1\right)\left(1-x\right)}$$
$$\frac{a^{2}vb}{x-x^{2}-1+x}$$
$$\frac{a^{2}vb}{2x-x^{2}-1}$$
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$-\frac{bva^{2}}{\left(1-x\right)^{2}}$
