展開する (a+e)^2+(b+f)^2+(c+g)^2+(d+h)^2

解

展開する

(a + e)^{2} + (b + f)^{2} + (c + g)^{2} + (d + h)^{2}

a^{2} + 2 e a + e^{2} + b^{2} + 2 b f + f^{2} + c^{2} + 2 c g + g^{2} + d^{2} + 2 d h + h^{2}

解答ステップ

(a + e)^{2} + (b + f)^{2} + (c + g)^{2} + (d + h)^{2}

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

= a^{2} + 2 a e + e^{2} + (b + f)^{2} + (c + g)^{2} + (d + h)^{2}

(b + f)^{2} : b^{2} + 2 b f + f^{2}

= a^{2} + 2 a e + e^{2} + b^{2} + 2 b f + f^{2} + (c + g)^{2} + (d + h)^{2}

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

= a^{2} + 2 a e + e^{2} + b^{2} + 2 b f + f^{2} + c^{2} + 2 c g + g^{2} + (d + h)^{2}

(d + h)^{2} : d^{2} + 2 d h + h^{2}

= a^{2} + 2 a e + e^{2} + b^{2} + 2 b f + f^{2} + c^{2} + 2 c g + g^{2} + d^{2} + 2 d h + h^{2}