化简 (25x^2)(14y^2)

解答

化简

(25 x^{2}) (14 y^{2})

350 x^{2} y^{2}

求解步骤

(25 x^{2}) (14 y^{2})

使用指数法则:

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

假定

a \geq 0, b \geq 0

x^{2} y^{2} = (x y)^{2}

= 25 \cdot 14 (x y)^{2}

(x y)^{2} = x^{2} y^{2}

= 25 \cdot 14 x^{2} y^{2}

数字相乘:

25 \cdot 14 = 350

= 350 x^{2} y^{2}

e x p an d \frac{( x ^{3} - 4 ) ( x ^{3} - 9 )}{x ^{4} + 17 x ^{2} + 16}

s im pl i f y 2 \cdot x + y \cdot z

s im pl i f y 2 e^{1^{2}} 2

\frac{d}{d t} (e^{- wt})

s im pl i f y e^{- 2 t} t (- t + 1)