展开 (x-6+sqrt(5))(x-6-sqrt(5))(x-4)

解答

展开

(x - 6 + 5) (x - 6 - 5) (x - 4)

x^{3} - 16 x^{2} + 79 x - 124

求解步骤

(x - 6 + 5) (x - 6 - 5) (x - 4)

展开

(x - 6 + 5) (x - 6 - 5) : x^{2} - 12 x + 31

= (x^{2} - 12 x + 31) (x - 4)

打开括号

= x^{2} x + x^{2} (- 4) - 12 xx - 12 x (- 4) + 31 x + 31 (- 4)

化简

x^{2} x + x^{2} (- 4) - 12 xx - 12 x (- 4) + 31 x + 31 (- 4) : x^{3} - 16 x^{2} + 79 x - 124

= x^{3} - 16 x^{2} + 79 x - 124

e x p an d \frac{61 ( y ^{2} - 14 y + 49 )}{12}

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

e x p an d 36 (e^{4} - e)

e x p an d \frac{8}{( x + 8 ) ^{2}}

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