化简 2x^3*7x^4x(3x)^2

解答

化简

2 x^{3} \cdot 7 x^{4} x (3 x)^{2}

126 x^{10}

求解步骤

2 x^{3} \cdot 7 x^{4} x (3 x)^{2}

数字相乘:

2 \cdot 7 = 14

= 14 x^{3} x^{4} x (3 x)^{2}

化简

x^{3} x^{4} x : x^{8}

= 14 x^{8} (3 x)^{2}

使用指数法则:

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

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

= 3^{2} \cdot 14 x^{8} x^{2}

使用指数法则:

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

x^{8} x^{2} = x^{8 + 2}

= 14 \cdot 3^{2} x^{8 + 2}

整理后得

= 126 x^{10}

s im pl i f y (2 x - 3 y)^{2} - (3 y + 4 y)^{2}

22 \cdot x^{2} + 9 x + 52

s im pl i f y 2 y^{2} - \frac{y}{3} + 3 \frac{y ^{2}}{2} - y

e x p an d a^{2} b^{2} + 2 b (a^{2} + 1) + a^{2} - b^{2} - 1

s im pl i f y (3 p^{3})^{4}