What is factor x^4-5x^2y^2+4y^4 ?

The solution to factor x^4-5x^2y^2+4y^4 is (x+y)(x-y)(x+2y)(x-2y)

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factor x^4-5x^2y^2+4y^4

factor

x^{4} - 5 x^{2} y^{2} + 4 y^{4}

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

Solution steps

x^{4} - 5 x^{2} y^{2} + 4 y^{4}

Break the expression into groups

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

Factor out

x^{2}

from

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

Factor out

- 4 y^{2}

from

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

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

Factor out common term

x^{2} - y^{2}

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

Factor

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

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

Factor

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

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

\frac{x - 5 + 6 x ^{- 1}}{1 - 2 x ^{- 1}}

(a + ab)^{2}

2 sin (x) sin (x)

- 3 i \cdot (- 3) i

\frac{50}{12}

What is factor x^4-5x^2y^2+4y^4 ?
The solution to factor x^4-5x^2y^2+4y^4 is (x+y)(x-y)(x+2y)(x-2y)