展开 (9-6x+x^2)^3*4

解答

展开

(9 - 6 x + x^{2})^{3} \cdot 4

4 x^{6} - 72 x^{5} + 540 x^{4} - 2160 x^{3} + 4860 x^{2} - 5832 x + 2916

求解步骤

(9 - 6 x + x^{2})^{3} \cdot 4

(9 - 6 x + x^{2})^{3} = x^{6} - 18 x^{5} + 135 x^{4} - 540 x^{3} + 1215 x^{2} - 1458 x + 729

= 4 (x^{6} - 18 x^{5} + 135 x^{4} - 540 x^{3} + 1215 x^{2} - 1458 x + 729)

= 4 (x^{6} - 18 x^{5} + 135 x^{4} - 540 x^{3} + 1215 x^{2} - 1458 x + 729)

打开括号

= 4 x^{6} + 4 (- 18 x^{5}) + 4 \cdot 135 x^{4} + 4 (- 540 x^{3}) + 4 \cdot 1215 x^{2} + 4 (- 1458 x) + 4 \cdot 729

使用加减运算法则

+ (- a) = - a

= 4 x^{6} - 4 \cdot 18 x^{5} + 4 \cdot 135 x^{4} - 4 \cdot 540 x^{3} + 4 \cdot 1215 x^{2} - 4 \cdot 1458 x + 4 \cdot 729

化简

4 x^{6} - 4 \cdot 18 x^{5} + 4 \cdot 135 x^{4} - 4 \cdot 540 x^{3} + 4 \cdot 1215 x^{2} - 4 \cdot 1458 x + 4 \cdot 729 : 4 x^{6} - 72 x^{5} + 540 x^{4} - 2160 x^{3} + 4860 x^{2} - 5832 x + 2916

= 4 x^{6} - 72 x^{5} + 540 x^{4} - 2160 x^{3} + 4860 x^{2} - 5832 x + 2916

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

e x p an d \frac{s + 34}{( s + 5 + 3 j ) ( s + 5 - 3 j )}

s im pl i f y (4 - x^{2 \circ} x - 2) (x)

e x p an d (2.5569300000000 \dots + 1.0195000000000 \dots ln (x))^{2}

e x p an d (10 x + 7 y + 3 z = 7,) (10 x + 7 x + 3 x = 10)