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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

x^{2}

from

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

Factor out

- y

from

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

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

Factor out common term

x^{2} - y

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

Apply exponent rule:

aa = a^{2}

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

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

5 x^{2} + 46 x + 9

\frac{3 x ^{8} y ^{3}}{3 x ^{7} y ^{3}}

- 3 + 6 i

(2 x^{4})^{4}

6 x (x)

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