What is factor 8+27y^3 ?

The solution to factor 8+27y^3 is (3y+2)(9y^2-6y+4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 8+27y^3

factor

8 + 27 y^{3}

(3 y + 2) (9 y^{2} - 6 y + 4)

Solution steps

8 + 27 y^{3}

Write in the standard form

= 27 y^{3} + 8

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(3 y + 2) (3^{2} y^{2} - 2 \cdot 3 y + 2^{2}) : (3 y + 2) (9 y^{2} - 6 y + 4)

= (3 y + 2) (9 y^{2} - 6 y + 4)

30 b + 53 \geq 18 b - 83

\frac{1}{2 \cdot 3}

- 36 - m = 8 (4 + 2 m)

\frac{2}{3} x + 4 = 14

- 4.4 \geq 1.6 x - 3.6