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Popular >

expand (x+xΔ)^2

Solution

expand

(x + x Δ)^{2}

Solution

x^{2} + 2Δ x^{2} + Δ^{2} x^{2}

Solution steps

(x + x Δ)^{2}

= (x + Δ x)^{2}

Apply Perfect Square Formula:

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

a = x, b = x Δ

= x^{2} + 2 xx Δ + (x Δ)^{2}

Simplify

x^{2} + 2 xx Δ + (x Δ)^{2} : x^{2} + 2Δ x^{2} + Δ^{2} x^{2}

= x^{2} + 2Δ x^{2} + Δ^{2} x^{2}

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Frequently Asked Questions (FAQ)

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