簡約 (2+sqrt(4-x^2-y^2))^2

解

簡約

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

- x^{2} - y^{2} + 4 4 - x^{2} - y^{2} + 8

解答ステップ

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

完全平方式を適用する:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

簡素化

2^{2} + 2 \cdot 2 4 - x^{2} - y^{2} + (4 - x^{2} - y^{2})^{2} : - x^{2} - y^{2} + 4 4 - x^{2} - y^{2} + 8

= - x^{2} - y^{2} + 4 4 - x^{2} - y^{2} + 8