What is factor 4x^2y^2-9y^2-45+20x^2 ?

The solution to factor 4x^2y^2-9y^2-45+20x^2 is (2x+3)(2x-3)(y^2+5)

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factor 4x^2y^2-9y^2-45+20x^2

factor

4 x^{2} y^{2} - 9 y^{2} - 45 + 20 x^{2}

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

Solution steps

4 x^{2} y^{2} - 9 y^{2} - 45 + 20 x^{2}

= (4 x^{2} y^{2} - 9 y^{2}) + (20 x^{2} - 45)

Factor out

y^{2}

from

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

Factor out

5

from

20 x^{2} - 45 : 5 (4 x^{2} - 9)

= y^{2} (4 x^{2} - 9) + 5 (4 x^{2} - 9)

Factor out common term

4 x^{2} - 9

= (4 x^{2} - 9) (y^{2} + 5)

Factor

4 x^{2} - 9 : (2 x + 3) (2 x - 3)

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

8 x^{2} - 50

7 (t^{2} + 5 t - 9) + t = t (7 t - 2) + 13

64 b^{2} - 81

\frac{8 - x}{x + 6} \geq 0

3 x^{2} (2 x^{2} + 3) = 0

What is factor 4x^2y^2-9y^2-45+20x^2 ?
The solution to factor 4x^2y^2-9y^2-45+20x^2 is (2x+3)(2x-3)(y^2+5)