What is expand (-3+Δx)^3 ?

The solution to expand (-3+Δx)^3 is -27+27Δx-9Δ^2x^2+Δ^3x^3

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expand (-3+Δx)^3

expand

(- 3 + Δ x)^{3}

- 27 + 27Δ x - 9 Δ^{2} x^{2} + Δ^{3} x^{3}

Solution steps

(- 3 + Δ x)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

a = - 3, b = Δ x

= (- 3)^{3} + 3 (- 3)^{2} Δ x + 3 (- 3) (Δ x)^{2} + (Δ x)^{3}

Simplify

(- 3)^{3} + 3 (- 3)^{2} Δ x + 3 (- 3) (Δ x)^{2} + (Δ x)^{3} : - 27 + 27Δ x - 9 Δ^{2} x^{2} + Δ^{3} x^{3}

= - 27 + 27Δ x - 9 Δ^{2} x^{2} + Δ^{3} x^{3}

(C x + C e^{- x}) x

\frac{\partial}{\partial y} ((x) (x^{3} y z^{2} + 2 yz))

x \cdot (1 + x + 1 - x)

\frac{1}{4} (e^{2 x} \cdot 2 x - e^{2 x}) + C

\frac{27 \times ( s + 2 )}{2}

What is expand (-3+Δx)^3 ?
The solution to expand (-3+Δx)^3 is -27+27Δx-9Δ^2x^2+Δ^3x^3