化简 (x+y)^2-(a-b)^2

解答

化简

(x + y)^{2} - (a - b)^{2}

x^{2} + 2 x y + y^{2} - a^{2} + 2 ab - b^{2}

求解步骤

(x + y)^{2} - (a - b)^{2}

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

= x^{2} + 2 x y + y^{2} - (a - b)^{2}

(a - b)^{2} : a^{2} - 2 ab + b^{2}

= x^{2} + 2 x y + y^{2} - (a^{2} - 2 ab + b^{2})

- (a^{2} - 2 ab + b^{2}) : - a^{2} + 2 ab - b^{2}

= x^{2} + 2 x y + y^{2} - a^{2} + 2 ab - b^{2}

s im pl i f y (p + 2 q)^{3} - (p - 2 q)^{3}

e x p an d (a - 96)^{3}

f a c t or 2 x^{3} - 4 x^{2} + 2 k - 10

f a c t or 2 x + 12 x^{16}

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