en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (y+1)^3

Solution

expand

(y + 1)^{3}

Solution

y^{3} + 3 y^{2} + 3 y + 1

Solution steps

(y + 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

Popular Examples

simplify log_{a}(sqrt(a))simplify

lo g_{a} (a)

simplify sqrt(1+1)simplify

1 + 1

expand (x^2+5)^3 expand

(x^{2} + 5)^{3}

simplify 2-(-7)simplify

2 - (- 7)

expand (x-8)(x+3)expand

(x - 8) (x + 3)

Frequently Asked Questions (FAQ)

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