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Popular >

expand (1+Δx)^2

Solution

expand

(1 + Δ x)^{2}

Solution

1 + 2Δ x + Δ^{2} x^{2}

Solution steps

(1 + Δ x)^{2}

Apply Perfect Square Formula:

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

a = 1, b = Δ x

= 1^{2} + 2 \cdot 1Δ x + (Δ x)^{2}

Simplify

1^{2} + 2 \cdot 1Δ x + (Δ x)^{2} : 1 + 2Δ x + Δ^{2} x^{2}

= 1 + 2Δ x + Δ^{2} x^{2}

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Frequently Asked Questions (FAQ)

What is expand (1+Δx)^2 ?
The solution to expand (1+Δx)^2 is 1+2Δx+Δ^2x^2