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Popular >

expand a(x+Δx)^2

Solution

expand

a (x + Δ x)^{2}

Solution

a x^{2} + 2Δ a x^{2} + Δ^{2} a x^{2}

Solution steps

a (x + Δ x)^{2}

(x + Δ x)^{2} = x^{2} + 2Δ x^{2} + Δ^{2} x^{2}

= a (x^{2} + 2Δ x^{2} + Δ^{2} x^{2})

Distribute parentheses

= a x^{2} + a \cdot 2Δ x^{2} + a Δ^{2} x^{2}

= a x^{2} + 2Δ a x^{2} + Δ^{2} a x^{2}

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Frequently Asked Questions (FAQ)

What is expand a(x+Δx)^2 ?
The solution to expand a(x+Δx)^2 is ax^2+2Δax^2+Δ^2ax^2