展开 (3x^2+18x+27)(x+3)^{1/5}

解答

展开

(3 x^{2} + 18 x + 27) (x + 3)^{\frac{1}{5}}

(x + 3)^{\frac{1}{5}} \cdot 3 x^{2} + (x + 3)^{\frac{1}{5}} \cdot 18 x + (x + 3)^{\frac{1}{5}} \cdot 27

求解步骤

(3 x^{2} + 18 x + 27) (x + 3)^{\frac{1}{5}}

= (x + 3)^{\frac{1}{5}} (3 x^{2} + 18 x + 27)

使用分配律:

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

(x + 3)^{\frac{1}{5}} (3 x^{2} + 18 x + 27) = (x + 3)^{\frac{1}{5}} \cdot 3 x^{2} + (x + 3)^{\frac{1}{5}} \cdot 18 x + (x + 3)^{\frac{1}{5}} \cdot 27

= (x + 3)^{\frac{1}{5}} \cdot 3 x^{2} + (x + 3)^{\frac{1}{5}} \cdot 18 x + (x + 3)^{\frac{1}{5}} \cdot 27

e x p an d \frac{2}{s ( s + 1 ) ( s + 4 )}

e x p an d (P (x) + q (x)) l e f t (q (x) - R (x))

e x p an d \frac{6 ( x - 8 )}{7 ( 2 x - 5 )}

s im pl i f y (z^{2} + i)^{2}

e x p an d - \frac{6 ( - 3 x ^{2} + 5 )}{( 3 x ^{2} + 5 ) ^{2}}