en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1-p)^3

Solution

expand

(1 - p)^{3}

Solution

1 - 3 p + 3 p^{2} - p^{3}

Solution steps

(1 - p)^{3}

Apply Perfect Cube Formula:

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

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

= 1^{3} - 3 \cdot 1^{2} p + 3 \cdot 1 \cdot p^{2} - p^{3}

Simplify

1^{3} - 3 \cdot 1^{2} p + 3 \cdot 1 \cdot p^{2} - p^{3} : 1 - 3 p + 3 p^{2} - p^{3}

= 1 - 3 p + 3 p^{2} - p^{3}

Popular Examples

simplify-2*(-x)simplify

- 2 \cdot (- x)

expand xy(x+y)expand

x y (x + y)

simplify sqrt(11^4)simplify

1 1^{4}

simplify (5g^2)^3(-g^4)simplify

(5 g^{2})^{3} (- g^{4})

simplify (1-x)*(1-x)simplify

(1 - x) \cdot (1 - x)

Frequently Asked Questions (FAQ)

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