What is factor 27x^3+y^6 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 27x^3+y^6

factor

27 x^{3} + y^{6}

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

Solution steps

27 x^{3} + y^{6}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

\frac{11}{20} - \frac{1}{28}

(32 x^{25} y^{- 10})^{\frac{2}{5}}

0.06 x + 0.07 (38000 - x) = 2440

14 x^{2} - 6 x

\frac{a ^{3} - b ^{3}}{a ^{2} - b ^{2}}

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