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

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

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factor 100y^2-49x^4

factor

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

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

Solution steps

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

100 y^{2} = (10 y)^{2}

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

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

Apply Difference of Two Squares Formula:

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

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

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

9 - (- 11)

m^{2} - m - 20

m^{3} - 27

e^{- 0} - 0

(- 7) (- 8)

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