展开 (x^3-4xy^3)(5tan(5t)sec(5t))

解答

展开

(x^{3} - 4 x y^{3}) (5 tan (5 t) sec (5 t))

5 x^{3} sec (5 t) tan (5 t) - 20 x y^{3} sec (5 t) tan (5 t)

求解步骤

(x^{3} - 4 x y^{3}) (5 tan (5 t) sec (5 t))

= (5 tan (5 t) sec (5 t)) (x^{3} - 4 x y^{3})

使用分配律:

a (b - c) = ab - a c

(5 tan (5 t) sec (5 t)) (x^{3} - 4 x y^{3}) = 5 tan (5 t) sec (5 t) x^{3} - 5 tan (5 t) sec (5 t) \cdot 4 x y^{3}

= 5 tan (5 t) sec (5 t) x^{3} - 5 tan (5 t) sec (5 t) \cdot 4 x y^{3}

化简

5 tan (5 t) sec (5 t) x^{3} - 5 tan (5 t) sec (5 t) \cdot 4 x y^{3} : 5 x^{3} sec (5 t) tan (5 t) - 20 x y^{3} sec (5 t) tan (5 t)

= 5 x^{3} sec (5 t) tan (5 t) - 20 x y^{3} sec (5 t) tan (5 t)

e x p an d (A + B^{^{'}} + C) (A + B)

e x p an d 192 - 75 z^{225} z^{2} - 80 z + 64

e x p an d \frac{2 s ^{3} + 4 s ^{2} + 21 s + 9}{( s ^{2} + 9 ) ( s + 1 )}

e x p an d \frac{4 ( 3 - 2 )}{7}

e x p an d \frac{( x - 5 ) ( x - 10 )}{50}