化简 (sqrt(4+x^2))^3

解答

化简

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

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

求解步骤

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

使用指数法则:

a^{b + c} = a^{b} \cdot a^{c}

(4 + x^{2})^{2 + 1} = (4 + x^{2})^{2} 4 + x^{2}

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

使用指数法则:

(n a)^{n} = a,

假定

n i s o dd or a \geq 0

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

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

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

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

s im pl i f y 2 (3 \frac{15}{2})^{2}

s im pl i f y (15)^{5}

s im pl i f y (y)^{5}

s im pl i f y a^{\frac{2}{3}} b^{\frac{2}{3}}

s im pl i f y (2.426 \cdot 1 0^{- 12}) \cdot (9.1 \cdot 1 0^{- 31}) \cdot (3 \cdot 1 0^{8})