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Popular >

expand x(1+Δ)^2

Solution

expand

x (1 + Δ)^{2}

Solution

x + 2Δ x + Δ^{2} x

Solution steps

x (1 + Δ)^{2}

(1 + Δ)^{2} = 1 + 2Δ + Δ^{2}

= (Δ^{2} + 2Δ + 1) x

= (1 + 2Δ + Δ^{2}) x

Distribute parentheses

= x \cdot 1 + x \cdot 2Δ + x Δ^{2}

= 1 \cdot x + 2Δ x + Δ^{2} x

Multiply:

1 \cdot x = x

= x + 2Δ x + Δ^{2} x

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Frequently Asked Questions (FAQ)

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