What is expand (x+5)(x+Δx)^2-1 ?

The solution to expand (x+5)(x+Δx)^2-1 is x^3+2Δx^3+Δ^2x^3+5x^2+10Δx^2+5Δ^2x^2-1

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expand (x+5)(x+Δx)^2-1

expand

(x + 5) (x + Δ x)^{2} - 1

x^{3} + 2Δ x^{3} + Δ^{2} x^{3} + 5 x^{2} + 10Δ x^{2} + 5 Δ^{2} x^{2} - 1

Solution steps

(x + 5) (x + Δ x)^{2} - 1

Expand

(x + Δ x)^{2} (x + 5) : x^{3} + 2Δ x^{3} + Δ^{2} x^{3} + 5 x^{2} + 10Δ x^{2} + 5 Δ^{2} x^{2}

= x^{3} + 2Δ x^{3} + Δ^{2} x^{3} + 5 x^{2} + 10Δ x^{2} + 5 Δ^{2} x^{2} - 1

x - 5 (- 2, - 6)

\frac{( 1 + 2 x ) ^{3}}{n ^{4}}

V (- 2, - 1)

4 (2 x^{2} - x - 1)^{2}

\frac{d}{d k} ((e) (e - m k^{2}))

What is expand (x+5)(x+Δx)^2-1 ?
The solution to expand (x+5)(x+Δx)^2-1 is x^3+2Δx^3+Δ^2x^3+5x^2+10Δx^2+5Δ^2x^2-1