展开 (4y^3-0.5y^2)^2

解答

展开

(4 y^{3} - 0.5 y^{2})^{2}

16 y^{6} - 4 y^{5} + 0.25 y^{4}

求解步骤

(4 y^{3} - 0.5 y^{2})^{2}

使用完全平方公式:

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

(4 y^{3} - 0.5 y^{2})^{2} = (4 y^{3})^{2} - 2 \cdot 4 y^{3} \cdot 0.5 y^{2} + (0.5 y^{2})^{2}

= (4 y^{3})^{2} - 2 \cdot 4 y^{3} \cdot 0.5 y^{2} + (0.5 y^{2})^{2}

化简

(4 y^{3})^{2} - 2 \cdot 4 y^{3} \cdot 0.5 y^{2} + (0.5 y^{2})^{2} : 16 y^{6} - 4 y^{5} + 0.25 y^{4}

= 16 y^{6} - 4 y^{5} + 0.25 y^{4}

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