展开 (ln(x))(-x^3+3)

解答

展开

(ln (x)) (- x^{3} + 3)

- x^{3} ln (x) + 3 ln (x)

求解步骤

(ln (x)) (- x^{3} + 3)

使用分配律:

a (b + c) = ab + a c

a = (ln (x)), b = - x^{3}, c = 3

= (ln (x)) (- x^{3}) + (ln (x)) \cdot 3

使用加减运算法则

+ (- a) = - a

= - x^{3} (ln (x)) + 3 (ln (x))

去除括号:

(a) = a

= - x^{3} ln (x) + 3 ln (x)

e x p an d (1 - e^{- c})^{2}

e x p an d t^{2} cos (ln (t)) \cdot (2 t sin (ln (t)) + t cos (ln (t)))

e x p an d (sin (6 x) + cos (6 x))^{2}

e x p an d sin (θ) + (sin (θ) + cos (θ)) cos (θ)

e x p an d - cos (x) \cdot 6 (2 x + 1)^{2}