What is factor 16x^4-8x^2y^2+y^4 ?

The solution to factor 16x^4-8x^2y^2+y^4 is (2x+y)^2(2x-y)^2

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factor 16x^4-8x^2y^2+y^4

factor

16 x^{4} - 8 x^{2} y^{2} + y^{4}

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

Solution steps

16 x^{4} - 8 x^{2} y^{2} + y^{4}

Break the expression into groups

= (16 x^{4} - 4 x^{2} y^{2}) + (- 4 x^{2} y^{2} + y^{4})

Factor out

4 x^{2}

from

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

Factor out

- y^{2}

from

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

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

Factor out common term

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

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

Factor

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

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

Factor

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

= (2 x + y) (2 x - y) (2 x + y) (2 x - y)

Simplify

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

(\frac{4}{5})^{2} + y^{2} = 1

- 2 x^{2} > x - 1

3 w^{2} - 5 w - 50 = 0

4 = 6 x - \frac{1}{2}

1 + \frac{1}{e}

What is factor 16x^4-8x^2y^2+y^4 ?
The solution to factor 16x^4-8x^2y^2+y^4 is (2x+y)^2(2x-y)^2