What is expand 3(x+Δx)^3 ?

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

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expand 3(x+Δx)^3

expand

3 (x + Δ x)^{3}

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

Solution steps

3 (x + Δ x)^{3}

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

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

Distribute parentheses

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

Multiply the numbers:

3 \cdot 3 = 9

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

\frac{1}{x ^{2} ( a x + b )}

(x^{2} - 1) (d x - d y)

(\frac{n + 2 x}{n})^{3}

- \frac{8 - 2 x ^{2} ( 4 - x ^{2} )}{3}

(\frac{1}{3} x + \frac{2}{3} y)^{2}

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