What is factor x^2z^2-4z^2+x^4-4x^2 ?

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

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factor x^2z^2-4z^2+x^4-4x^2

factor

x^{2} z^{2} - 4 z^{2} + x^{4} - 4 x^{2}

(x + 2) (x - 2) (z^{2} + x^{2})

Solution steps

x^{2} z^{2} - 4 z^{2} + x^{4} - 4 x^{2}

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

Factor out

z^{2}

from

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

Factor out

x^{2}

from

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

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

Factor out common term

x^{2} - 4

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

Factor

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

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

x + 10 > 12

(\frac{1}{4})^{7}

4 x^{2} = 23 x + 72

- 21 = y - 17

6 a^{2} + 17 a + 5

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