展开 |4+x^3|(12x^2y^3+3x^5y^3-1)

解答

展开

4 + x^{3} (12 x^{2} y^{3} + 3 x^{5} y^{3} - 1)

12 x^{2} y^{3} 4 + x^{3} + 3 x^{5} y^{3} 4 + x^{3} - 4 + x^{3}

求解步骤

4 + x^{3} (12 x^{2} y^{3} + 3 x^{5} y^{3} - 1)

打开括号

= 4 + x^{3} \cdot 12 x^{2} y^{3} + 4 + x^{3} \cdot 3 x^{5} y^{3} + 4 + x^{3} (- 1)

使用加减运算法则

+ (- a) = - a

= 12 x^{2} y^{3} 4 + x^{3} + 3 x^{5} y^{3} 4 + x^{3} - 1 \cdot 4 + x^{3}

乘以:

1 \cdot 4 + x^{3} = 4 + x^{3}

= 12 x^{2} y^{3} 4 + x^{3} + 3 x^{5} y^{3} 4 + x^{3} - 4 + x^{3}

e x p an d (a + b + c^{^{'}}) \cdot a \cdot b \cdot c

e x p an d (cos (3 x + 1) sec (2 x + 1)) (12 x (2 x^{3} + 1)^{2})

e x p an d 7^{2} \cdot 3

\frac{d ^{2}}{d x ^{2}} ((x) (5 x cos (3 x) + 8 x sin (3 x)))

e x p an d sin (k (t - k u))