What is factor 9x^4-12x^2y+4y^2 ?

The solution to factor 9x^4-12x^2y+4y^2 is (3x^2-2y)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 9x^4-12x^2y+4y^2

factor

9 x^{4} - 12 x^{2} y + 4 y^{2}

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

Solution steps

9 x^{4} - 12 x^{2} y + 4 y^{2}

Break the expression into groups

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

Factor out

3 x^{2}

from

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

Factor out

- 2 y

from

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

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

Factor out common term

3 x^{2} - 2 y

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

Apply exponent rule:

aa = a^{2}

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

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

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

4 n^{2} + 4

x^{2} + x^{3} + (- 1) + x^{2}

8 x^{53} x (- 125)

\frac{12}{5} \cdot \frac{( x + 1 )}{6}

What is factor 9x^4-12x^2y+4y^2 ?
The solution to factor 9x^4-12x^2y+4y^2 is (3x^2-2y)^2