展开 12x^{2.5}(2x^{3.5}× 3x^2)

解答

展开

12 x^{2.5} (2 x^{3.5} \cdot 3 x^{2})

72 x^{8}

求解步骤

12 x^{2.5} (2 x^{3.5} \cdot 3 x^{2})

去除括号:

(a) = a

= 12 x^{2.5} \cdot 2 x^{3.5} \cdot 3 x^{2}

数字相乘:

12 \cdot 2 \cdot 3 = 72

= 72 x^{2} x^{3.5} x^{2.5}

使用指数法则:

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

x^{2.5} x^{3.5} x^{2} = x^{2.5 + 3.5 + 2}

= 72 x^{2.5 + 3.5 + 2}

数字相加:

2.5 + 3.5 + 2 = 8

= 72 x^{8}

e x p an d lo g_{10} (10) \frac{y}{2}

e x p an d x (k = a + b - 4 (\frac{c}{c + x}) - 4 (\frac{d \cdot ( b - x )}{d + b - x}))

e x p an d \frac{( 3 x - L ) ( L + 3 x )}{18}

e x p an d (x^{3} - 1) 3 x^{2} - 2 x

e x p an d \frac{( 1 + x ) ^{2}}{2}