What is factor x^9-y^6 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^9-y^6

factor

x^{9} - y^{6}

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

Solution steps

x^{9} - y^{6}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(x^{3})^{2} + x^{3} y^{2} + (y^{2})^{2} : x^{6} + x^{3} y^{2} + y^{4}

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

3 x^{2} + 12 x - 15 = 0

(2 s^{3} t^{- 2}) (\frac{1}{4} s^{7} t) (16 t^{4})

8.99 \cdot 1 0^{9} \cdot \frac{1 \cdot 1 0 ^{- 6}}{3.01}

\frac{6}{- 16}

2 x^{2} + 8 x - 9 = 2 (x - 1)

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