What is factor 25x^4-y^6 ?

The solution to factor 25x^4-y^6 is (5x^2+y^3)(5x^2-y^3)

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factor 25x^4-y^6

factor

25 x^{4} - y^{6}

(5 x^{2} + y^{3}) (5 x^{2} - y^{3})

Solution steps

25 x^{4} - y^{6}

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

y^{6} = (y^{3})^{2}

= (5 x^{2})^{2} - (y^{3})^{2}

Apply Difference of Two Squares Formula:

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

(5 x^{2})^{2} - (y^{3})^{2} = (5 x^{2} + y^{3}) (5 x^{2} - y^{3})

= (5 x^{2} + y^{3}) (5 x^{2} - y^{3})

x^{6} - 81 x^{4}

2 cos^{2} (x) - cos (x)

\frac{( n + 1 ) ! ( n + 2 )}{( n - 1 ) !}

p^{\frac{2}{5}} \cdot p^{- 2}

22 x^{3} y^{5} z^{2} - 121 x^{4} y^{3} z

What is factor 25x^4-y^6 ?
The solution to factor 25x^4-y^6 is (5x^2+y^3)(5x^2-y^3)