展开 3(3x^2+6x-1)^2

解答

展开

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

27 x^{4} + 108 x^{3} + 90 x^{2} - 36 x + 3

求解步骤

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

(3 x^{2} + 6 x - 1)^{2} = 9 x^{4} + 36 x^{3} + 30 x^{2} - 12 x + 1

= 3 (9 x^{4} + 36 x^{3} + 30 x^{2} - 12 x + 1)

打开括号

= 3 \cdot 9 x^{4} + 3 \cdot 36 x^{3} + 3 \cdot 30 x^{2} + 3 (- 12 x) + 3 \cdot 1

使用加减运算法则

+ (- a) = - a

= 3 \cdot 9 x^{4} + 3 \cdot 36 x^{3} + 3 \cdot 30 x^{2} - 3 \cdot 12 x + 3 \cdot 1

化简

3 \cdot 9 x^{4} + 3 \cdot 36 x^{3} + 3 \cdot 30 x^{2} - 3 \cdot 12 x + 3 \cdot 1 : 27 x^{4} + 108 x^{3} + 90 x^{2} - 36 x + 3

= 27 x^{4} + 108 x^{3} + 90 x^{2} - 36 x + 3

e x p an d \frac{e ^{- x}}{x ( x + 3 ) ( x - 1 )}

e x p an d \frac{x - 1}{( x - 3 ) ( x + 4 )}

e x p an d \frac{1}{( b - a ) ( a - x )}

e x p an d (- 4, - 3) y (8, - 9)

e x p an d 64 (10 k - 10 m + 1)^{2}