What is factor x^4+2x^2y^2+9y^4 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^4+2x^2y^2+9y^4

factor

x^{4} + 2 x^{2} y^{2} + 9 y^{4}

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

Solution steps

x^{4} + 2 x^{2} y^{2} + 9 y^{4}

Add and subtract

4 x^{2} y^{2}

= x^{4} + 6 x^{2} y^{2} + 9 y^{4} - 4 x^{2} y^{2}

Factor

x^{4} + 6 x^{2} y^{2} + 9 y^{4} : (x^{2} + 3 y^{2})^{2}

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

Apply exponent rules

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

Factor

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

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

\frac{200}{60}

227 + 243

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

x^{- 4} \cdot x^{3}

- 2 (- 9)

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