vereinfachen ((2+j)(0.6+j^{0.8}))/(-4+j)-j

Lösung

vereinfachen

\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}

Schritte zur Lösung

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

Wende Bruchregel an:

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

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

Vereinfache

- 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}

e x p an d lo g_{10} (3) (4 x + 6) - lo g_{3} (3 x + 9)

e x p an d \frac{1}{4} (- 16 x + 8)

e x p an d 440

e x p an d \frac{x + 1}{( x + 7 ) ^{2}}

e x p an d lo g_{10} (x y^{7})