What is factor 25x^2y^4-49 ?

The solution to factor 25x^2y^4-49 is (5xy^2+7)(5xy^2-7)

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factor 25x^2y^4-49

factor

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

(5 x y^{2} + 7) (5 x y^{2} - 7)

Solution steps

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

25 x^{2} y^{4} = (5 x y^{2})^{2}

49 = 7^{2}

= (5 x y^{2})^{2} - 7^{2}

Apply Difference of Two Squares Formula:

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

(5 x y^{2})^{2} - 7^{2} = (5 x y^{2} + 7) (5 x y^{2} - 7)

= (5 x y^{2} + 7) (5 x y^{2} - 7)

\frac{1}{2} \cdot (\frac{1}{s} + \frac{s}{( s ^{2} + 36 )})

(x + y)^{5} - x^{5} - y^{5}

\frac{o x ^{2}}{49}

b^{3} - 8 c^{3}

9 x^{\frac{3}{2}} \cdot (3 x)^{\frac{- 1}{2}}

What is factor 25x^2y^4-49 ?
The solution to factor 25x^2y^4-49 is (5xy^2+7)(5xy^2-7)