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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

x^{2}

from

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

Factor out

- y^{2}

from

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

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

Factor out common term

x^{2} - y^{2}

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

Factor

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

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

Factor

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

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

Simplify

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

x^{2} + 4 x + 4 = 16

\frac{53}{43} \cdot \frac{46 n ^{2}}{31}

4 x^{2} + 20 x + 16

x - \frac{3}{5} x = 50

0.3

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