展开 (3e^4-5f)^2

解答

展开

(3 e^{4} - 5 f)^{2}

25 f^{2} - 30 e^{4} f + 9 e^{8}

求解步骤

(3 e^{4} - 5 f)^{2}

使用完全平方公式:

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

a = 3 e^{4}, b = 5 f

= (3 e^{4})^{2} - 2 \cdot 3 e^{4} \cdot 5 f + (5 f)^{2}

化简

(3 e^{4})^{2} - 2 \cdot 3 e^{4} \cdot 5 f + (5 f)^{2} : 9 e^{8} - 30 e^{4} f + 25 f^{2}

= 9 e^{8} - 30 e^{4} f + 25 f^{2}

改写为标准形式

= 25 f^{2} - 30 e^{4} f + 9 e^{8}

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