簡約 (3/(5x^n+2))x^2+x^n*(1x+2)

解

簡約

(\frac{3}{5 \cdot x ^{n} + 2}) \cdot x^{2} + x^{n} \cdot (1 x + 2)

\frac{3 x ^{2}}{5 x ^{n} + 2} + x^{n + 1} + 2 x^{n}

解答ステップ

(\frac{3}{5 x ^{n} + 2}) x^{2} + x^{n} (1 \cdot x + 2)

規則を適用する:

(a) = a

(\frac{3}{5 x ^{n} + 2}) = \frac{3}{5 x ^{n} + 2}

= \frac{3}{5 x ^{n} + 2} x^{2} + x^{n} (1 \cdot x + 2)

\frac{3}{5 x ^{n} + 2} x^{2} = \frac{3 x ^{2}}{5 x ^{n} + 2}

x^{n} (1 \cdot x + 2) = x^{n} (x + 2)

= \frac{3 x ^{2}}{5 x ^{n} + 2} + x^{n} (x + 2)

拡張

x^{n} (x + 2) : x^{n + 1} + 2 x^{n}

= \frac{3 x ^{2}}{5 x ^{n} + 2} + x^{n + 1} + 2 x^{n}