簡約 1+(1.6K(x+2)(Tx+1))/(x^2+2x+1.64)

解

簡約

1 + \frac{1.6 K ( x + 2 ) ( T x + 1 )}{x ^{2} + 2 x + 1.64}

\frac{x ^{2} + 2 x + 1.64 + 1.6 K x ^{2} T + 1.6 K x + 3.2 K x T + 3.2 K}{x ^{2} + 2 x + 1.64}

解答ステップ

1 + \frac{1.6 K ( x + 2 ) ( T x + 1 )}{x ^{2} + 2 x + 1.64}

分数の規則を適用する:

1 + \frac{b}{c} = \frac{c + b}{c}

= \frac{( x ^{2} + 2 x + 1.64 ) + 1.6 K ( x + 2 ) ( T x + 1 )}{x ^{2} + 2 x + 1.64}

規則を適用する:

(a) = a

(x^{2} + 2 x + 1.64) = x^{2} + 2 x + 1.64

= \frac{x ^{2} + 2 x + 1.64 + 1.6 K ( x + 2 ) ( T x + 1 )}{x ^{2} + 2 x + 1.64}

簡素化

x^{2} + 2 x + 1.64 + 1.6 K (x + 2) (T x + 1) : x^{2} + 2 x + 1.64 + 1.6 K x^{2} T + 1.6 K x + 3.2 K x T + 3.2 K

= \frac{x ^{2} + 2 x + 1.64 + 1.6 K x ^{2} T + 1.6 K x + 3.2 K x T + 3.2 K}{x ^{2} + 2 x + 1.64}