化简 (2x+1)^3+(x-3)^3

解答

化简

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

9 x^{3} + 3 x^{2} + 33 x - 26

求解步骤

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

展开

(2 x + 1)^{3} : 8 x^{3} + 12 x^{2} + 6 x + 1

= 8 x^{3} + 12 x^{2} + 6 x + 1 + (x - 3)^{3}

展开

(x - 3)^{3} : x^{3} - 9 x^{2} + 27 x - 27

= 8 x^{3} + 12 x^{2} + 6 x + 1 + x^{3} - 9 x^{2} + 27 x - 27

对同类项分组

= 8 x^{3} + x^{3} + 12 x^{2} - 9 x^{2} + 6 x + 27 x + 1 - 27

f a c t or 64 z^{3} + 125

e x p an d (a + b)^{4} + 4

s im pl i f y - 6.8 (n - 8.9) - 8.4 (n + 11.4)

e x p an d (3 a + b^{2})^{4}

s im pl i f y \frac{( 3 x ) ^{\frac{1}{2}} \cdot ( 12 x ) ^{\frac{3}{2}}}{4}