What is expand (x+Δx)^3+2(x+Δx) ?

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

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expand (x+Δx)^3+2(x+Δx)

expand

(x + Δ x)^{3} + 2 (x + Δ x)

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

Solution steps

(x + Δ x)^{3} + 2 (x + Δ x)

Expand

2 (x + Δ x) : 2 x + 2Δ x

= (x + Δ x)^{3} + 2 x + 2Δ x

(x + Δ x)^{3} : x^{3} + 3Δ x^{3} + 3 Δ^{2} x^{3} + Δ^{3} x^{3}

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

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

- \frac{6}{s ( s + 3 )}

2 x^{2} + 8 x - (x^{2} + 6 x - 9 = 0)

2 e^{t} F (s + 1)

- 4 (3 e - 4)

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