展开 (x-y)left(x^2+xy+y^2)

解答

展开

(x - y) l e f t (x^{2} + x y + y^{2})

e l x^{3} f t - e l y^{3} f t

求解步骤

(x - y) l e f t (x^{2} + x y + y^{2})

= e l f t (x - y) (x^{2} + x y + y^{2})

乘开

(x - y) (x^{2} + x y + y^{2}) : x^{3} - y^{3}

= l e f t (x^{3} - y^{3})

乘开

l e f t (x^{3} - y^{3}) : e l x^{3} f t - e l y^{3} f t

= e l x^{3} f t - e l y^{3} f t

e x p an d \frac{3 x ^{2} + 4 x + 2}{2 ( y - 1 )}

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

e x p an d (csc (x) + 1) (sec (x) - tan (x))

e x p an d (x - \frac{1}{3}) (x + 6)

s im pl i f y 15 (1 + lo g_{2} (5))