What is factor 64u^6-27w^6 ?

The solution to factor 64u^6-27w^6 is (4u^2-3w^2)(16u^4+12u^2w^2+9w^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 64u^6-27w^6

factor

64 u^{6} - 27 w^{6}

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

Solution steps

64 u^{6} - 27 w^{6}

Apply exponent rules

= (4 u^{2})^{3} - (3 w^{2})^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

(4 u^{2})^{2} + 4 u^{2} \cdot 3 w^{2} + (3 w^{2})^{2} : 16 u^{4} + 12 u^{2} w^{2} + 9 w^{4}

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

- 6 ∣ 5 - 2 y ∣ = - 9

5 (- 2 n + 4) + 2 (n + 3)

5 x = \frac{1}{125}

2 \cdot \frac{1}{6}

\frac{3}{4} \cdot 2

What is factor 64u^6-27w^6 ?
The solution to factor 64u^6-27w^6 is (4u^2-3w^2)(16u^4+12u^2w^2+9w^4)