What is expand (c+Δx)^3 ?

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

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expand (c+Δx)^3

expand

(c + Δ x)^{3}

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

Solution steps

(c + Δ x)^{3}

Apply Perfect Cube Formula:

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

a = c, b = Δ x

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

Simplify

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

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

e^{\frac{2}{x}} (x + 5)

\frac{3 ( x - 5 ) ^{2}}{4}

\frac{x + 6}{( x - 3 ) ( x - 4 )}

\frac{4}{( s + 1 ) ( s + 3 ) s}

A (- 2, 2) y B (3, - 4)

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