因数 36am+45an+4m+5n

解

因数

36 am + 45 an + 4 m + 5 n

(1 + 9 a) (4 m + 5 n)

解答ステップ

36 am + 45 an + 4 m + 5 n

書き換え

= 9 \cdot 4 ma + 45 an + 1 \cdot 4 m + 5 n

共通項をくくり出す

4 m

= 4 m (9 a + 1) + 45 an + 5 n

書き換え

= 4 m (1 + 9 a) + 9 \cdot 5 na + 1 \cdot 5 n

共通項をくくり出す

5 n

= 4 m (1 + 9 a) + 5 n (9 a + 1)

共通項をくくり出す

(1 + 9 a)

= (1 + 9 a) (4 m + 5 n)