因数 (1+(c+16s))/((c+s)*(9/(s^2)))

解

因数

\frac{1 + ( c + 16 s )}{( c + s ) \cdot ( \frac{9}{s ^{2}} )}

\frac{s ^{2} ( 1 + c + 16 s )}{9 ( c + s )}

解答ステップ

\frac{1 + ( c + 16 s )}{( c + s ) ( \frac{9}{s ^{2}} )}

括弧を削除する:

(a) = a

= \frac{1 + c + 16 s}{( c + s ) \frac{9}{s ^{2}}}

乗じる

(c + s) \frac{9}{s ^{2}} : \frac{9 ( s + c )}{s ^{2}}

= \frac{1 + c + 16 s}{\frac{9 ( s + c )}{s ^{2}}}

分数の規則を適用する:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{( 1 + c + 16 s ) s ^{2}}{9 ( c + s )}