en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3-t)^3

Solution

expand

(3 - t)^{3}

Solution

27 - 27 t + 9 t^{2} - t^{3}

Solution steps

(3 - t)^{3}

Apply Perfect Cube Formula:

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

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

= 3^{3} - 3 \cdot 3^{2} t + 3 \cdot 3 t^{2} - t^{3}

Simplify

3^{3} - 3 \cdot 3^{2} t + 3 \cdot 3 t^{2} - t^{3} : 27 - 27 t + 9 t^{2} - t^{3}

= 27 - 27 t + 9 t^{2} - t^{3}

Popular Examples

expand (x+4)(x^2+3x+2)expand

(x + 4) (x^{2} + 3 x + 2)

simplify 6/1 simplify

\frac{6}{1}

simplify 3/21 simplify

\frac{3}{21}

simplify \sqrt[3]{27x^6}simplify

expand (1+3x)^5 expand

(1 + 3 x)^{5}

Frequently Asked Questions (FAQ)

What is expand (3-t)^3 ?
The solution to expand (3-t)^3 is 27-27t+9t^2-t^3