化简 x^3y^3(x^4y^4+2xy^2)

解答

化简

x^{3} y^{3} (x^{4} y^{4} + 2 x y^{2})

x^{3} y^{3} (x^{4} y^{4} + 2 x y^{2})

求解步骤

x^{3} y^{3} (x^{4} y^{4} + 2 x y^{2})

使用指数法则:

a^{m} b^{m} = (ab)^{m},

假定

a \geq 0, b \geq 0

x^{3} y^{3} = (x y)^{3}

= (x y)^{3} (x^{4} y^{4} + 2 x y^{2})

(x y)^{3} = x^{3} y^{3}

= x^{3} y^{3} (x^{4} y^{4} + 2 x y^{2})

s im pl i f y (6 4 3^{2}) (7 8 2^{5})

s im pl i f y \frac{e ^{16}}{e ^{- 4}}

s im pl i f y (7 - 5) (7 - 5)

s im pl i f y x^{2} (r (r - 1) x^{r - 2})

s im pl i f y (csc (t) - cot (t))^{4} (csc (t) + cot (t))^{4}