展开 ln(a+e^{(x+y+z)^2})

解答

展开

ln (a + e^{(x + y + z)^{2}})

ln (a + e^{2 x y + 2 x z + x^{2} + y^{2} + 2 yz + z^{2}})

求解步骤

ln (a + e^{(x + y + z)^{2}})

(x + y + z)^{2} = 2 x y + 2 x z + x^{2} + y^{2} + 2 yz + z^{2}

= ln (a + e^{x^{2} + 2 x y + 2 x z + y^{2} + 2 yz + z^{2}})

e x p an d (2 - 6) a + (3 - 6) b

e x p an d \frac{2 ( 2 x - 3 )}{5}

e x p an d (f \circ g) x^{2} (4 x - 7)

e x p an d (f (x) = 5 x - 2^{3}) f (- 4)

\frac{d}{d t} ((t) (- k (t - t a)))