展开 ((-8X+A)^2)/(16)

解答

展开

\frac{( - 8 X + A ) ^{2}}{16}

4 X^{2} - A X + \frac{A ^{2}}{16}

求解步骤

\frac{( - 8 X + A ) ^{2}}{16}

(- 8 X + A)^{2} = 64 X^{2} - 16 A X + A^{2}

= \frac{64 X ^{2} - 16 A X + A ^{2}}{16}

使用分式法则:

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

\frac{64 X ^{2} - 16 A X + A ^{2}}{16} = \frac{64 X ^{2}}{16} - \frac{16 A X}{16} + \frac{A ^{2}}{16}

= \frac{64 X ^{2}}{16} - \frac{16 A X}{16} + \frac{A ^{2}}{16}

数字相除:

\frac{64}{16} = 4

= 4 X^{2} - \frac{16 A X}{16} + \frac{A ^{2}}{16}

数字相除:

\frac{16}{16} = 1

= 4 X^{2} - A X + \frac{A ^{2}}{16}

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