What is factor x^3y^3-z^9 ?

The solution to factor x^3y^3-z^9 is (xy-z^3)(x^2y^2+xyz^3+z^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^3y^3-z^9

factor

x^{3} y^{3} - z^{9}

(x y - z^{3}) (x^{2} y^{2} + x y z^{3} + z^{6})

Solution steps

x^{3} y^{3} - z^{9}

Rewrite

x^{3} y^{3}

(x y)^{3}

= (x y)^{3} - z^{9}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

z^{9} = (z^{3})^{3}

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

Apply Difference of Cubes Formula:

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

(x y)^{3} - (z^{3})^{3} = (x y - z^{3}) ((x y)^{2} + x y z^{3} + z^{6})

= (x y - z^{3}) ((x y)^{2} + z^{3} x y + z^{6})

Simplify

(x y - z^{3}) ((x y)^{2} + x y z^{3} + z^{6}) : (x y - z^{3}) (x^{2} y^{2} + x y z^{3} + z^{6})

= (x y - z^{3}) (x^{2} y^{2} + x y z^{3} + z^{6})

4 x + 9 = 13

(x + 8) + 15 = 2 (x + 15)

(\frac{x ^{- 1} y ^{2}}{x ^{3} y ^{4}})^{- 3}

5 x - 5 < 5 (x - 2)

\frac{m ^{2} - 36}{m - 6}

What is factor x^3y^3-z^9 ?
The solution to factor x^3y^3-z^9 is (xy-z^3)(x^2y^2+xyz^3+z^6)