What is factor 64y^3-27 ?

The solution to factor 64y^3-27 is (4y-3)(16y^2+12y+9)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 64y^3-27

factor

64 y^{3} - 27

(4 y - 3) (16 y^{2} + 12 y + 9)

Solution steps

64 y^{3} - 27

Apply exponent rules

= (4 y)^{3} - 3^{3}

Apply Difference of Cubes Formula:

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

(4 y)^{3} - 3^{3} = (4 y - 3) (4^{2} y^{2} + 3 \cdot 4 y + 3^{2})

= (4 y - 3) (4^{2} y^{2} + 3 \cdot 4 y + 3^{2})

Simplify

(4 y - 3) (4^{2} y^{2} + 3 \cdot 4 y + 3^{2}) : (4 y - 3) (16 y^{2} + 12 y + 9)

= (4 y - 3) (16 y^{2} + 12 y + 9)

\frac{11}{9 - 6}

6 u^{2} - 18 u = 0

∣ 2 x + 3 ∣ < x + 6

t^{4} - 3 t^{2} + t

0.7 5^{2}

What is factor 64y^3-27 ?
The solution to factor 64y^3-27 is (4y-3)(16y^2+12y+9)