What is factor x^2z^2+36y^2-4y^2z^2-9x^2 ?

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

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

factor

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

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

Solution steps

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

Factor

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

Factor

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

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

Rewrite as

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

Factor out common term

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

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

Factor

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

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

z^{0}

- 4 (u + 2) + 2 = 2 (u + 6)

x^{2} - 11 x + 5 = - 6 x + 5

d + 5 < 1

4 x^{2} + 28 x + 49 = 0

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