展开 (ae^2-10)^2

解答

展开

(a e^{2} - 10)^{2}

e^{4} a^{2} - 20 e^{2} a + 100

求解步骤

(a e^{2} - 10)^{2}

= (e^{2} a - 10)^{2}

使用完全平方公式:

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

a = a e^{2}, b = 10

= (a e^{2})^{2} - 2 a e^{2} \cdot 10 + 1 0^{2}

化简

(a e^{2})^{2} - 2 a e^{2} \cdot 10 + 1 0^{2} : e^{4} a^{2} - 20 e^{2} a + 100

= e^{4} a^{2} - 20 e^{2} a + 100

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