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})

6 (6 q + 9 q + 4) - 5 q

2 r - 3 (5 r - 8)

- 4 (8 f + g) + 9 g - 5 (- 2 g + 6 f)

- 10 (- 8 x + 9) - 8 x

5 x^{4} y - 20 x y^{3}

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)