What is expand 2(x+Δx)^3 ?

The solution to expand 2(x+Δx)^3 is 2x^3+6Δx^3+6Δ^2x^3+2Δ^3x^3

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expand 2(x+Δx)^3

expand

2 (x + Δ x)^{3}

2 x^{3} + 6Δ x^{3} + 6 Δ^{2} x^{3} + 2 Δ^{3} x^{3}

Solution steps

2 (x + Δ x)^{3}

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

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

Distribute parentheses

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

Multiply the numbers:

2 \cdot 3 = 6

= 2 x^{3} + 6Δ x^{3} + 6 Δ^{2} x^{3} + 2 Δ^{3} x^{3}

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

(5 x + 2) (5 x - 2)

(- 2 x + 7 y = 10,) - (3 x + 7 y = 2)

\frac{\frac{1}{x} - \frac{1}{y}}{1 - \frac{x}{y}}

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

What is expand 2(x+Δx)^3 ?
The solution to expand 2(x+Δx)^3 is 2x^3+6Δx^3+6Δ^2x^3+2Δ^3x^3