What is expand 6(x+Δx)^3 ?

The solution to expand 6(x+Δx)^3 is 6x^3+18Δx^3+18Δ^2x^3+6Δ^3x^3

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expand 6(x+Δx)^3

expand

6 (x + Δ x)^{3}

6 x^{3} + 18Δ x^{3} + 18 Δ^{2} x^{3} + 6 Δ^{3} x^{3}

Solution steps

6 (x + Δ x)^{3}

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

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

Distribute parentheses

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

Multiply the numbers:

6 \cdot 3 = 18

= 6 x^{3} + 18Δ x^{3} + 18 Δ^{2} x^{3} + 6 Δ^{3} x^{3}

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What is expand 6(x+Δx)^3 ?
The solution to expand 6(x+Δx)^3 is 6x^3+18Δx^3+18Δ^2x^3+6Δ^3x^3