展开 (x+2)(x+1)(x-1)(x-2)

解答

展开

(x + 2) (x + 1) (x - 1) (x - 2)

x^{4} - 5 x^{2} + 4

求解步骤

(x + 2) (x + 1) (x - 1) (x - 2)

展开

(x + 2) (x + 1) (x - 1) (x - 2) : (x^{2} - 4) (x + 1) (x - 1)

= (x^{2} - 4) (x + 1) (x - 1)

Apply Difference of Two Squares

(x + 1) (x - 1) : x^{2} - 1

= (x^{2} - 4) (x^{2} - 1)

Apply FOIL method

(x^{2} - 4) (x^{2} - 1) : x^{4} - 5 x^{2} + 4

= x^{4} - 5 x^{2} + 4

s im pl i f y \frac{9}{- 1}

s im pl i f y \frac{x ^{2} + 3 x + 2}{x ^{2} - x - 2}

s im pl i f y - i (i)

s im pl i f y (7^{6} \cdot 7)^{- 4} \cdot (\frac{7 ^{14}}{4 9 ^{0}})^{2}

e x p an d (x + 2)^{9}