What is expand (x^2+2xΔ+Δ)(3) ?

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

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expand (x^2+2xΔ+Δ)(3)

expand

(x^{2} + 2 x Δ + Δ) (3)

3 x^{2} + 6Δ x + 3Δ

Solution steps

(x^{2} + 2 x Δ + Δ) (3)

= (3) (x^{2} + 2Δ x + Δ)

Distribute parentheses

= (3) x^{2} + (3) \cdot 2 x Δ + (3) Δ

= (3) x^{2} + (3) \cdot 2Δ x + (3) Δ

Simplify

(3) x^{2} + (3) \cdot 2Δ x + (3) Δ : 3 x^{2} + 6Δ x + 3Δ

= 3 x^{2} + 6Δ x + 3Δ

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