What is factor 9x^6+6x^3y+y^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 9x^6+6x^3y+y^2

factor

9 x^{6} + 6 x^{3} y + y^{2}

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

Solution steps

9 x^{6} + 6 x^{3} y + y^{2}

Break the expression into groups

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

Factor out

3 x^{3}

from

9 x^{6} + 3 x^{3} y : 3 x^{3} (3 x^{3} + y)

Factor out

y

from

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

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

Factor out common term

3 x^{3} + y

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

Apply exponent rule:

aa = a^{2}

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

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

x^{2} + 6 x + 3 = 3

2 x - 2 = x - 5

x^{3} + 3 x^{2} + x + 3

\frac{1}{2} x - 2 = 9 - 5 x

6 - x = 8

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