因数 (2a-c)^2+(a+c)^2

解

因数

(2 a - c)^{2} + (a + c)^{2}

2 c^{2} - 2 a c + 5 a^{2}

解答ステップ

(2 a - c)^{2} + (a + c)^{2}

(2 a - c)^{2} : 4 a^{2} - 4 a c + c^{2}

= 4 a^{2} - 4 a c + c^{2} + (a + c)^{2}

(a + c)^{2} : a^{2} + 2 a c + c^{2}

= 4 a^{2} - 4 a c + c^{2} + a^{2} + 2 a c + c^{2}

簡素化

4 a^{2} - 4 a c + c^{2} + a^{2} + 2 a c + c^{2} : 2 c^{2} - 2 a c + 5 a^{2}

= 2 c^{2} - 2 a c + 5 a^{2}