What is factor 25x^4-109x^2y^2+36y^4 ?

The solution to factor 25x^4-109x^2y^2+36y^4 is (5x+3y)(5x-3y)(x+2y)(x-2y)

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factor 25x^4-109x^2y^2+36y^4

factor

25 x^{4} - 109 x^{2} y^{2} + 36 y^{4}

(5 x + 3 y) (5 x - 3 y) (x + 2 y) (x - 2 y)

Solution steps

25 x^{4} - 109 x^{2} y^{2} + 36 y^{4}

Break the expression into groups

= (25 x^{4} - 9 x^{2} y^{2}) + (- 100 x^{2} y^{2} + 36 y^{4})

Factor out

x^{2}

from

25 x^{4} - 9 x^{2} y^{2} : x^{2} (25 x^{2} - 9 y^{2})

Factor out

- 4 y^{2}

from

- 100 x^{2} y^{2} + 36 y^{4} : - 4 y^{2} (25 x^{2} - 9 y^{2})

= x^{2} (25 x^{2} - 9 y^{2}) - 4 y^{2} (25 x^{2} - 9 y^{2})

Factor out common term

25 x^{2} - 9 y^{2}

= (25 x^{2} - 9 y^{2}) (x^{2} - 4 y^{2})

Factor

25 x^{2} - 9 y^{2} : (5 x + 3 y) (5 x - 3 y)

= (5 x + 3 y) (5 x - 3 y) (x^{2} - 4 y^{2})

Factor

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

= (5 x + 3 y) (5 x - 3 y) (x + 2 y) (x - 2 y)

(2 tan (x))^{2}

\frac{2 + 4 i}{4 - 2 i}

1.25 - \frac{1}{5}

\frac{10}{6} - \frac{4}{8}

(x - a) (y + 2) + b (y + 2)

What is factor 25x^4-109x^2y^2+36y^4 ?
The solution to factor 25x^4-109x^2y^2+36y^4 is (5x+3y)(5x-3y)(x+2y)(x-2y)