展开 112((x^2)/(36)+(y^2)/(27)=1)

解答

展开

112 (\frac{x ^{2}}{36} + \frac{y ^{2}}{27} = 1)

\frac{28 x ^{2}}{9} + \frac{112 y ^{2}}{27} = 1

求解步骤

112 (\frac{x ^{2}}{36} + \frac{y ^{2}}{27} = 1)

= 112 (\frac{x ^{2}}{36} + 1 = \frac{y ^{2}}{27})

使用分配律:

a (b + c) = ab + a c

a = 112, b = \frac{x ^{2}}{36}, c = \frac{y ^{2}}{27} = 1

112 \cdot \frac{x ^{2}}{36} + 112 \cdot \frac{y ^{2}}{27} = 1

乘开

112 \cdot \frac{x ^{2}}{36} + 112 \cdot \frac{y ^{2}}{27} : \frac{28 x ^{2}}{9} + \frac{112 y ^{2}}{27}

\frac{28 x ^{2}}{9} + \frac{112 y ^{2}}{27} = 1

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