化简 (3x+1)^2-(3x+2)(3x-1)

解答

化简

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

3 x + 3

求解步骤

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

展开

(3 x + 1)^{2} : 9 x^{2} + 6 x + 1

= 9 x^{2} + 6 x + 1 - (3 x + 2) (3 x - 1)

展开

- (3 x + 2) (3 x - 1) : - 9 x^{2} - 3 x + 2

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

对同类项分组

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

s im pl i f y (i) 6 x^{3} + 7 x^{2} - x - 2

s im pl i f y (9 x^{3} \cdot y^{5})^{2} \cdot (5 x^{5} \cdot y^{3})^{3}

s im pl i f y sin^{4} (a) + sin^{2} (a) cos^{2} (a)

f a c t or 18 a^{5} b^{7} c^{7} - 81 a^{7} b^{5} c^{7} + 5 a^{7} b^{7} c^{5}

s im pl i f y 64 + 43 e^{44} y 822513 w^{44555}