展开 (3x-1)^2sqrt(3x-1)

解答

展开

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

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

求解步骤

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

展开

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

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

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

使用分配律:

m (a + b + c) = ma + mb + m c

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

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

化简

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

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

e x p an d \frac{d + d ( 2 d - 7 )}{d}

e x p an d \frac{( s ^{2} + 5 s + 10 )}{( s + 3 ) ( s + 2 ) ( s + 1 )}

e x p an d (cos (t) - sin (t)) (- sin (t) - cos (t))

e x p an d (ab + d c)^{2}

e x p an d - \frac{1}{4} (- 8 x + 12 y)