展开 (4+Δx)^2

解答

展开

(4 + Δ x)^{2}

16 + 8Δ x + Δ^{2} x^{2}

求解步骤

(4 + Δ x)^{2}

使用完全平方公式:

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

a = 4, b = Δ x

= 4^{2} + 2 \cdot 4Δ x + (Δ x)^{2}

化简

4^{2} + 2 \cdot 4Δ x + (Δ x)^{2} : 16 + 8Δ x + Δ^{2} x^{2}

= 16 + 8Δ x + Δ^{2} x^{2}

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