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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

2 x^{2}

from

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

Factor out

- y

from

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

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

Factor out common term

2 x^{2} - y

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

Apply exponent rule:

aa = a^{2}

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

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

- \frac{1}{4} \cdot \frac{3}{7}

2 x^{2} = 0

a^{2} - 11 a + 28

8 \cdot (- \frac{5}{2})

\frac{( 0.0025 ) ^{2}}{0.000375}

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