What is factor Δ^3x^3+3Δ^2x^3+3Δx^3 ?

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

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factor Δ^3x^3+3Δ^2x^3+3Δx^3

factor

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

Δ (Δ^{2} + 3Δ + 3) x^{3}

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{3} Δ^{2} = x^{3} ΔΔ, x^{3} Δ^{3} = x^{3} Δ Δ^{2}

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

Factor out common term

x^{3} Δ

= x^{3} Δ (Δ^{2} + 3Δ + 3)

5 y e^{x y^{5}} + 5 x y^{3} e^{x y^{5}}

f (x) = x + 2

f (x) = x + 4

e^{e^{2} - 1}

a^{2} x - a^{2} - 4 b^{2} x + 4 b^{2}

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