化简 2(3x^3*y^2)^2

解答

化简

2 (3 x^{3} \cdot y^{2})^{2}

18 x^{6} y^{4}

求解步骤

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

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

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

= 2 \cdot 3^{2} (x^{3})^{2} (y^{2})^{2}

3^{2} = 9

= 2 \cdot 9 (x^{3})^{2} (y^{2})^{2}

化简

(x^{3})^{2} : x^{6}

= 2 \cdot 9 x^{6} (y^{2})^{2}

化简

(y^{2})^{2} : y^{4}

= 2 \cdot 9 x^{6} y^{4}

数字相乘:

2 \cdot 9 = 18

= 18 x^{6} y^{4}

e x p an d - 23 x^{3} \cdot (- 6 x^{2} + 9)

f a c t or 8 a^{3} - 64 b^{3}

s im pl i f y (a - 1) (a + 1) (a^{2} + 1) (a^{4} + 1) (a^{8} + 1) + 1

s im pl i f y 12 x - 3 x (x + 9)

s im pl i f y (\frac{1}{2 \cdot x - 3})^{3}