What is expand (x+δx)^3 ?

The solution to expand (x+δx)^3 is x^3+3δx^3+3δ^2x^3+δ^3x^3

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expand (x+δx)^3

expand

(x + δ x)^{3}

x^{3} + 3 δ x^{3} + 3 δ^{2} x^{3} + δ^{3} x^{3}

Solution steps

(x + δ x)^{3}

Apply Perfect Cube Formula:

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

a = x, b = δ x

= x^{3} + 3 x^{2} δ x + 3 x (δ x)^{2} + (δ x)^{3}

Simplify

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

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

(- 8, 8) y (1, - 10)

\frac{5}{6 ( - 2 y + 3 )}

(4.45 h^{2} d l - 3.16 d^{2} z t)^{3}

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What is expand (x+δx)^3 ?
The solution to expand (x+δx)^3 is x^3+3δx^3+3δ^2x^3+δ^3x^3