展開する 2(16+1/5 x)^2-(20+1/4 x)^2

解

展開する

2 (16 + \frac{1}{5} x)^{2} - (20 + \frac{1}{4} x)^{2}

\frac{2 ( 6400 + 160 x + x ^{2} )}{25} - \frac{6400 + 160 x + x ^{2}}{16}

解答ステップ

2 (16 + \frac{1}{5} x)^{2} - (20 + \frac{1}{4} x)^{2}

拡張

2 (16 + \frac{1}{5} x)^{2} : 2 \cdot \frac{6400 + 160 x + x ^{2}}{25}

= 2 \cdot \frac{6400 + 160 x + x ^{2}}{25} - (20 + \frac{1}{4} x)^{2}

拡張

- (20 + \frac{1}{4} x)^{2} : - \frac{6400 + 160 x + x ^{2}}{16}

= 2 \cdot \frac{6400 + 160 x + x ^{2}}{25} - \frac{6400 + 160 x + x ^{2}}{16}

簡素化

2 \cdot \frac{6400 + 160 x + x ^{2}}{25} : \frac{2 ( 6400 + 160 x + x ^{2} )}{25}

= \frac{2 ( 6400 + 160 x + x ^{2} )}{25} - \frac{6400 + 160 x + x ^{2}}{16}