What is factor 27x^6-8 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 27x^6-8

factor

27 x^{6} - 8

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

Solution steps

27 x^{6} - 8

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

\frac{63}{40}

3 \div \frac{11}{12}

(3 - 2 i)^{2} + (2 - 3 i)^{2}

(x - 2)^{2} - 5 (x - 2) + 2

- 7 (- 8)

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