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Popular >

factor x^2y^2-9y^2-4x^2+36

Solution

factor

x^{2} y^{2} - 9 y^{2} - 4 x^{2} + 36

Solution

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

Solution steps

x^{2} y^{2} - 9 y^{2} - 4 x^{2} + 36

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

Factor out

y^{2}

from

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

Factor out

- 4

from

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

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

Factor out common term

x^{2} - 9

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

Factor

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

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

Factor

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

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

Popular Examples

b^{2} + 2 b = - 20

0.24x-0.38(x+2)=-0.34(x+4)

0.24 x - 0.38 (x + 2) = - 0.34 (x + 4)

1/2 29500*0.825^2= 1/2 (29500+115000)x^2

\frac{1}{2} 29500 \cdot 0.82 5^{2} = \frac{1}{2} (29500 + 115000) x^{2}

(7 x + 1)^{2} = 5

x/2+(5x)/4 = x/(12)

\frac{x}{2} + \frac{5 x}{4} = \frac{x}{12}

Frequently Asked Questions (FAQ)

What is factor x^2y^2-9y^2-4x^2+36 ?
The solution to factor x^2y^2-9y^2-4x^2+36 is (x+3)(x-3)(y+2)(y-2)