化简 (2-3i)x^3+(3/2+5i)x^2-6

解答

化简

(2 - 3 i) x^{3} + (\frac{3}{2} + 5 i) x^{2} - 6

2 x^{3} - 3 i x^{3} + \frac{( 10 i + 3 ) x ^{2}}{2} - 6

求解步骤

(2 - 3 i) x^{3} + (\frac{3}{2} + 5 i) x^{2} - 6

合并

\frac{3}{2} + 5 i : \frac{10 i + 3}{2}

= (2 - 3 i) x^{3} + \frac{10 i + 3}{2} x^{2} - 6

化简

\frac{10 i + 3}{2} x^{2} : \frac{( 10 i + 3 ) x ^{2}}{2}

= (2 - 3 i) x^{3} + \frac{( 10 i + 3 ) x ^{2}}{2} - 6

展开

(2 - 3 i) x^{3} + \frac{( 10 i + 3 ) x ^{2}}{2} - 6 : 2 x^{3} - 3 i x^{3} + \frac{( 10 i + 3 ) x ^{2}}{2} - 6

= 2 x^{3} - 3 i x^{3} + \frac{( 10 i + 3 ) x ^{2}}{2} - 6

e x p an d (1 + e^{- 3 t} + e^{2 t}) \cdot (e^{t} + 2 e^{2 t} - e^{- t})

e x p an d \frac{( x - 4 )}{( x - 2 ) ^{2}}

e x p an d \frac{100 ( x + 55 )}{x + 550}

e x p an d \frac{n ^{2}}{( 2 i d x + 2 i ^{2} d ^{2} ) ( s + x + i d )}

e x p an d (- 3 + Δ x)^{3}