What is expand piΔ(x+Δx)^2 ?

The solution to expand piΔ(x+Δx)^2 is piΔx^2+2Δ^2pix^2+Δ^3pix^2

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expand piΔ(x+Δx)^2

expand

π Δ (x + Δ x)^{2}

π Δ x^{2} + 2 Δ^{2} π x^{2} + Δ^{3} π x^{2}

Solution steps

π Δ (x + Δ x)^{2}

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

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

Distribute parentheses

= π Δ x^{2} + π Δ2Δ x^{2} + π Δ Δ^{2} x^{2}

= π Δ x^{2} + 2 π ΔΔ x^{2} + Δ^{2} π Δ x^{2}

Simplify

π Δ x^{2} + 2 π ΔΔ x^{2} + Δ^{2} π Δ x^{2} : π Δ x^{2} + 2 Δ^{2} π x^{2} + Δ^{3} π x^{2}

= π Δ x^{2} + 2 Δ^{2} π x^{2} + Δ^{3} π x^{2}

\frac{2}{s ( s ^{2} + 1 )}

(z - 2 + 6 i) (z - 2 - 6 i)

(s + \frac{1}{2})^{2}

\frac{d ^{2}}{d x d y} ((f (x, y)) (2 x^{2} + 3 y^{2} - 4 x y + 2 y - 3))

\frac{7 x - 3}{x ( x + 3 ) ( x - 1 )}

What is expand piΔ(x+Δx)^2 ?
The solution to expand piΔ(x+Δx)^2 is piΔx^2+2Δ^2pix^2+Δ^3pix^2