化简 (2x+1)^2+(3x-1)^2+2(2x+1)(3x-1)

解答

化简

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

25 x^{2}

求解步骤

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

展开

(2 x + 1)^{2} : 4 x^{2} + 4 x + 1

= 4 x^{2} + 4 x + 1 + (3 x - 1)^{2} + 2 (2 x + 1) (3 x - 1)

展开

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

= 4 x^{2} + 4 x + 1 + 9 x^{2} - 6 x + 1 + 2 (2 x + 1) (3 x - 1)

展开

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

= 4 x^{2} + 4 x + 1 + 9 x^{2} - 6 x + 1 + 12 x^{2} + 2 x - 2

对同类项分组

= 4 x^{2} + 9 x^{2} + 12 x^{2} + 4 x - 6 x + 2 x + 1 + 1 - 2

s im pl i f y (\frac{a}{4} - \frac{b}{2} + 1)^{2}

e x p an d (1 - x + x^{2})^{4}

s im pl i f y 2 \frac{x ^{43}}{2}

f a c t or x^{4} - 125 x \cdot y^{3}

s im pl i f y 30.77 \cdot (41.14)^{2407} x \cdot (11.17)^{2}