erweitern \det(ln(((a-k)^5*(b+k))/(a+c)))

Lösung

erweitern

det (ln (\frac{( a - k ) ^{5} \cdot ( b + k )}{a + c}))

det (ln (\frac{a ^{5} b + a ^{5} k - 5 a ^{4} bk - 5 a ^{4} k ^{2} + 10 a ^{3} b k ^{2} + 10 a ^{3} k ^{3} - 10 a ^{2} b k ^{3} - 10 a ^{2} k ^{4} + 5 ab k ^{4} + 5 a k ^{5} - b k ^{5} - k ^{6}}{a + c}))

Schritte zur Lösung

det (ln (\frac{( a - k ) ^{5} ( b + k )}{a + c}))

\frac{( a - k ) ^{5} ( b + k )}{a + c} = \frac{a ^{5} b + a ^{5} k - 5 a ^{4} bk - 5 a ^{4} k ^{2} + 10 a ^{3} b k ^{2} + 10 a ^{3} k ^{3} - 10 a ^{2} b k ^{3} - 10 a ^{2} k ^{4} + 5 ab k ^{4} + 5 a k ^{5} - b k ^{5} - k ^{6}}{a + c}

= det (ln (\frac{a ^{5} b + a ^{5} k - 5 a ^{4} bk - 5 a ^{4} k ^{2} + 10 a ^{3} b k ^{2} + 10 a ^{3} k ^{3} - 10 a ^{2} b k ^{3} - 10 a ^{2} k ^{4} + 5 ab k ^{4} + 5 a k ^{5} - b k ^{5} - k ^{6}}{a + c}))

e x p an d - 3^{\frac{1}{3}} (2 x^{2} - 3 x + 5 + 2 x^{\frac{1}{2}} - 4 x^{\frac{3}{2}})

e x p an d 2 x^{2 x} (ln (x) + 1)

e x p an d \frac{1}{s \cdot ( 1 + 2 \cdot s + 3 \cdot s ^{2} + 1.5 s ^{3} )}

e x p an d y d x - 2 (x - y) d y

e x p an d (6 cot (θ) + 5)^{2}