What is factor 100x^2y^8-49z^4 ?

The solution to factor 100x^2y^8-49z^4 is (10xy^4+7z^2)(10xy^4-7z^2)

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factor 100x^2y^8-49z^4

factor

100 x^{2} y^{8} - 49 z^{4}

(10 x y^{4} + 7 z^{2}) (10 x y^{4} - 7 z^{2})

Solution steps

100 x^{2} y^{8} - 49 z^{4}

100 x^{2} y^{8} = (10 x y^{4})^{2}

49 z^{4} = (7 z^{2})^{2}

= (10 x y^{4})^{2} - (7 z^{2})^{2}

Apply Difference of Two Squares Formula:

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

(10 x y^{4})^{2} - (7 z^{2})^{2} = (10 x y^{4} + 7 z^{2}) (10 x y^{4} - 7 z^{2})

= (10 x y^{4} + 7 z^{2}) (10 x y^{4} - 7 z^{2})

\frac{1}{5} \cdot (- 5)

\frac{1}{5 - 3 i} - \frac{1}{5 + 3 i}

(4 + 7 i) - (3 + 2 i)

- 575 - 147

(- 3) (- 8)

What is factor 100x^2y^8-49z^4 ?
The solution to factor 100x^2y^8-49z^4 is (10xy^4+7z^2)(10xy^4-7z^2)