化简 (x-2)^2+(y-3)^2

解答

化简

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

x^{2} - 4 x + y^{2} - 6 y + 13

求解步骤

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

展开

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

= x^{2} - 4 x + 4 + (y - 3)^{2}

展开

(y - 3)^{2} : y^{2} - 6 y + 9

= x^{2} - 4 x + 4 + y^{2} - 6 y + 9

对同类项分组

= x^{2} - 4 x + y^{2} - 6 y + 4 + 9

数字相加:

4 + 9 = 13

= x^{2} - 4 x + y^{2} - 6 y + 13

s im pl i f y \frac{3 w \cdot w ^{5}}{25 w ^{16}}

s im pl i f y \frac{lo g _{10} ( 4 )}{lo g _{10} ( 3 )}

e x p an d (5 + x) (5 - x)

e x p an d (5 x^{4} - y^{3})^{2}

e x p an d (2 x + 1) (x - 2) (x + 3)