因数 2m^pn^r+6m^{p-1}n^{r+1}-12m^{p+1}n^{r-1}

解

因数

2 m^{p} n^{r} + 6 m^{p - 1} n^{r + 1} - 12 m^{p + 1} n^{r - 1}

2 m^{p - 1} n^{r - 1} (3 n^{2} - 6 m^{2} + nm)

解答ステップ

2 m^{p} n^{r} + 6 m^{p - 1} n^{r + 1} - 12 m^{p + 1} n^{r - 1}

共通項をくくり出す

2 m^{p - 1} n^{r - 1} : 2 m^{p - 1} n^{r - 1} (mn + 3 n^{2} - 6 m^{2})

= 2 m^{p - 1} n^{r - 1} (mn + 3 n^{2} - 6 m^{2})

= 2 m^{p - 1} n^{r - 1} (3 n^{2} - 6 m^{2} + nm)