What is factor 36x^2-25y^6 ?

The solution to factor 36x^2-25y^6 is (6x+5y^3)(6x-5y^3)

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factor 36x^2-25y^6

factor

36 x^{2} - 25 y^{6}

(6 x + 5 y^{3}) (6 x - 5 y^{3})

Solution steps

36 x^{2} - 25 y^{6}

36 x^{2} = (6 x)^{2}

25 y^{6} = (5 y^{3})^{2}

= (6 x)^{2} - (5 y^{3})^{2}

Apply Difference of Two Squares Formula:

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

(6 x)^{2} - (5 y^{3})^{2} = (6 x + 5 y^{3}) (6 x - 5 y^{3})

= (6 x + 5 y^{3}) (6 x - 5 y^{3})

(3 z)^{2} (6 z^{4})^{- 3}

∣ 3 - 4 ∣

\frac{1}{2 x ^{- 5}}

x^{\frac{1}{3}} \cdot x^{2}

9 x - x

What is factor 36x^2-25y^6 ?
The solution to factor 36x^2-25y^6 is (6x+5y^3)(6x-5y^3)