en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (z+1)^3

Solution

expand

(z + 1)^{3}

Solution

z^{3} + 3 z^{2} + 3 z + 1

Solution steps

(z + 1)^{3}

Apply Perfect Cube Formula:

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

(z + 1)^{3} = z^{3} + 3 z^{2} \cdot 1 + 3 z \cdot 1^{2} + 1^{3}

= z^{3} + 3 z^{2} \cdot 1 + 3 z \cdot 1^{2} + 1^{3}

Simplify

z^{3} + 3 z^{2} \cdot 1 + 3 z \cdot 1^{2} + 1^{3} : z^{3} + 3 z^{2} + 3 z + 1

= z^{3} + 3 z^{2} + 3 z + 1

Popular Examples

simplify 3 3/5 \times (-8 1/3)simplify

3 \frac{3}{5} \times (- 8 \frac{1}{3})

simplify-6-(-10)simplify

- 6 - (- 10)

simplify-3(2w+6)-4 simplify

- 3 (2 w + 6) - 4

simplify (x^2-8x)/(x^3+4x^2)simplify

\frac{x ^{2} - 8 x}{x ^{3} + 4 x ^{2}}

simplify 8/3-6 simplify

\frac{8}{3} - 6

Frequently Asked Questions (FAQ)

What is expand (z+1)^3 ?
The solution to expand (z+1)^3 is z^3+3z^2+3z+1