化简 ((2+j)(0.6+j^{0.8}))/(-4+j)-j

解答

化简

\frac{( 2 + j ) ( 0.6 + j ^{0.8} )}{- 4 + j} - j

\frac{- j ^{2} + j ^{1.8} + 2 j ^{0.8} + 4.6 j + 1.2}{- 4 + j}

求解步骤

\frac{( 2 + j ) ( 0.6 + j ^{0.8} )}{- 4 + j} - j

使用分式法则:

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

= \frac{- j ( - 4 + j ) + ( 2 + j ) ( 0.6 + j ^{0.8} )}{- 4 + j}

化简

- j (- 4 + j) + (2 + j) (0.6 + j^{0.8}) : - j^{2} + j^{1.8} + 2 j^{0.8} + 4.6 j + 1.2

= \frac{- j ^{2} + j ^{1.8} + 2 j ^{0.8} + 4.6 j + 1.2}{- 4 + j}

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