展开 (x+1)(2x^2-2)(x^3+5)

解答

展开

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

2 x^{6} + 2 x^{5} - 2 x^{4} + 8 x^{3} + 10 x^{2} - 10 x - 10

求解步骤

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

展开

(x + 1) (2 x^{2} - 2) (x^{3} + 5) : (2 x^{3} - 2 x + 2 x^{2} - 2) (x^{3} + 5)

= (2 x^{3} - 2 x + 2 x^{2} - 2) (x^{3} + 5)

打开括号

= 2 x^{3} x^{3} + 2 x^{3} \cdot 5 - 2 x x^{3} - 2 x \cdot 5 + 2 x^{2} x^{3} + 2 x^{2} \cdot 5 - 2 x^{3} - 2 \cdot 5

化简

2 x^{3} x^{3} + 2 x^{3} \cdot 5 - 2 x x^{3} - 2 x \cdot 5 + 2 x^{2} x^{3} + 2 x^{2} \cdot 5 - 2 x^{3} - 2 \cdot 5 : 2 x^{6} + 2 x^{5} - 2 x^{4} + 8 x^{3} + 10 x^{2} - 10 x - 10

= 2 x^{6} + 2 x^{5} - 2 x^{4} + 8 x^{3} + 10 x^{2} - 10 x - 10

s im pl i f y 9 (2 k - 4) - 2 (7 k - 12)

e x p an d (3 a + 3 b) (7 a - 5 b)

s im pl i f y 5 - 24

s im pl i f y ∣ 3 ∣ - ∣ - 1 ∣

s im pl i f y - \frac{- 12}{4}