What is expand-(Δ(Δ+2)x)/((y+Δy)^2) ?

The solution to expand-(Δ(Δ+2)x)/((y+Δy)^2) is -(Δ^2x+2Δx)/(y^2+2Δy^2+Δ^2y^2)

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expand-(Δ(Δ+2)x)/((y+Δy)^2)

expand

- \frac{Δ ( Δ + 2 ) x}{( y + Δ y ) ^{2}}

- \frac{Δ ^{2} x + 2Δ x}{y ^{2} + 2Δ y ^{2} + Δ ^{2} y ^{2}}

Solution steps

- \frac{Δ ( Δ + 2 ) x}{( y + Δ y ) ^{2}}

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

= - \frac{Δ ( Δ + 2 ) x}{y ^{2} + 2Δ y ^{2} + Δ ^{2} y ^{2}}

Expand

Δ (Δ + 2) x : Δ^{2} x + 2Δ x

= - \frac{Δ ^{2} x + 2Δ x}{y ^{2} + 2Δ y ^{2} + Δ ^{2} y ^{2}}

3 sin (\frac{1}{2}) (x + π) + 6

\frac{6 x ^{2} + 60 x + 15}{( x + 5 ) ^{2}}

cos (x) (\frac{π}{2} - x)

\frac{d}{d x} ((2 x^{3} - 1) lo g_{10} (3 x + 5)) + 4

- 3 (e - \frac{1}{e})

What is expand-(Δ(Δ+2)x)/((y+Δy)^2) ?
The solution to expand-(Δ(Δ+2)x)/((y+Δy)^2) is -(Δ^2x+2Δx)/(y^2+2Δy^2+Δ^2y^2)