What is factor x^2y^4-4 ?

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

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factor x^2y^4-4

factor

x^{2} y^{4} - 4

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

Solution steps

x^{2} y^{4} - 4

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

4 = 2^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

(n^{3})^{7}!

x - (\frac{( x + 1 )}{2})

(x^{22})^{x}

(1 - sin^{2} (x)) - (1 - 2 sin^{2} (x))

\frac{( x ^{2} )}{3} + \frac{( 8 x )}{3} + 5