What is factor 4x^6-y^6 ?

The solution to factor 4x^6-y^6 is (2x^3+y^3)(2x^3-y^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 4x^6-y^6

factor

4 x^{6} - y^{6}

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

Solution steps

4 x^{6} - y^{6}

4 x^{6} = (2 x^{3})^{2}

y^{6} = (y^{3})^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

a - 2 a

(x^{2} + y^{2} - 1)^{3}

\frac{( 3 x + 1 ) ^{2} + 3 ( x - 1 ) ^{2}}{3 x ^{2} + 1}

64 x^{10} y^{16}

7 x^{2} - x^{2}

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