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\frac{\left(x-3\right)\left(x^{2}+2x+1\right)}{\left(x^{2}-1\right)\left(x^{2}-2x-3\right)}+\frac{1}{x-1}
Whakawehe \frac{x-3}{x^{2}-1} ki te \frac{x^{2}-2x-3}{x^{2}+2x+1} mā te whakarea \frac{x-3}{x^{2}-1} ki te tau huripoki o \frac{x^{2}-2x-3}{x^{2}+2x+1}.
\frac{\left(x-3\right)\left(x+1\right)^{2}}{\left(x-3\right)\left(x-1\right)\left(x+1\right)^{2}}+\frac{1}{x-1}
Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{\left(x-3\right)\left(x^{2}+2x+1\right)}{\left(x^{2}-1\right)\left(x^{2}-2x-3\right)}.
\frac{1}{x-1}+\frac{1}{x-1}
Me whakakore tahi te \left(x-3\right)\left(x+1\right)^{2} i te taurunga me te tauraro.
2\times \frac{1}{x-1}
Pahekotia te \frac{1}{x-1} me \frac{1}{x-1}, ka 2\times \frac{1}{x-1}.
\frac{2}{x-1}
Tuhia te 2\times \frac{1}{x-1} hei hautanga kotahi.
\frac{\left(x-3\right)\left(x^{2}+2x+1\right)}{\left(x^{2}-1\right)\left(x^{2}-2x-3\right)}+\frac{1}{x-1}
Whakawehe \frac{x-3}{x^{2}-1} ki te \frac{x^{2}-2x-3}{x^{2}+2x+1} mā te whakarea \frac{x-3}{x^{2}-1} ki te tau huripoki o \frac{x^{2}-2x-3}{x^{2}+2x+1}.
\frac{\left(x-3\right)\left(x+1\right)^{2}}{\left(x-3\right)\left(x-1\right)\left(x+1\right)^{2}}+\frac{1}{x-1}
Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{\left(x-3\right)\left(x^{2}+2x+1\right)}{\left(x^{2}-1\right)\left(x^{2}-2x-3\right)}.
\frac{1}{x-1}+\frac{1}{x-1}
Me whakakore tahi te \left(x-3\right)\left(x+1\right)^{2} i te taurunga me te tauraro.
2\times \frac{1}{x-1}
Pahekotia te \frac{1}{x-1} me \frac{1}{x-1}, ka 2\times \frac{1}{x-1}.
\frac{2}{x-1}
Tuhia te 2\times \frac{1}{x-1} hei hautanga kotahi.