en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 27t^3-1

Solution

factor

27 t^{3} - 1

Solution

(3 t - 1) (9 t^{2} + 3 t + 1)

Solution steps

27 t^{3} - 1

Apply exponent rules

= (3 t)^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

(3 t)^{3} - 1^{3} = (3 t - 1) (3^{2} t^{2} + 3 t + 1)

= (3 t - 1) (3^{2} t^{2} + 3 t + 1)

3^{2} = 9

= (3 t - 1) (9 t^{2} + 3 t + 1)

Popular Examples

simplify (1+3i)/(2-i)simplify

\frac{1 + 3 i}{2 - i}

simplify 5/9*3/5 simplify

\frac{5}{9} \cdot \frac{3}{5}

factor 2x^2-11xy-21y^2 factor

2 x^{2} - 11 x y - 21 y^{2}

simplify 3a+9b+7a+7 simplify

3 a + 9 b + 7 a + 7

simplify (-b^3c^4)^5 simplify

(- b^{3} c^{4})^{5}

Frequently Asked Questions (FAQ)

What is factor 27t^3-1 ?
The solution to factor 27t^3-1 is (3t-1)(9t^2+3t+1)