展开 ((-21)/(34)-(16x)/(-17))^2

解答

展开

(\frac{- 21}{34} - \frac{16 x}{- 17})^{2}

\frac{441 - 1344 x + 1024 x ^{2}}{1156}

求解步骤

(\frac{- 21}{34} - \frac{16 x}{- 17})^{2}

使用完全平方公式:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(\frac{- 21}{34} - \frac{16 x}{- 17})^{2} = (\frac{- 21}{34})^{2} - 2 \cdot \frac{- 21}{34} \cdot \frac{16 x}{- 17} + (\frac{16 x}{- 17})^{2}

= (\frac{- 21}{34})^{2} - 2 \cdot \frac{- 21}{34} \cdot \frac{16 x}{- 17} + (\frac{16 x}{- 17})^{2}

化简

(\frac{- 21}{34})^{2} - 2 \cdot \frac{- 21}{34} \cdot \frac{16 x}{- 17} + (\frac{16 x}{- 17})^{2} : \frac{441 - 1344 x + 1024 x ^{2}}{1156}

= \frac{441 - 1344 x + 1024 x ^{2}}{1156}

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