What is expand (-x+Δx)^3 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (-x+Δx)^3

expand

(- x + Δ x)^{3}

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

Solution steps

(- x + Δ x)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

a = - x, b = Δ x

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

Simplify

(- x)^{3} + 3 (- x)^{2} Δ x + 3 (- x) (Δ x)^{2} + (Δ x)^{3} : - x^{3} + 3Δ x^{3} - 3 Δ^{2} x^{3} + Δ^{3} x^{3}

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

(2 x + \frac{15}{x ^{2}})^{4}

\frac{x ^{5} + 1}{x ( x - 1 ) ( x ^{2} + 1 ) ^{2}}

5 (x + y) - 6 x + y - 8

- \frac{4 ( - 1 ) ^{n}}{π ( 2 n + 1 ) ( 2 n - 1 )}

(1 - sin (x)) (1 + cos (x))

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