What is factor 36x^4-25y^6 ?

The solution to factor 36x^4-25y^6 is (6x^2+5y^3)(6x^2-5y^3)

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factor 36x^4-25y^6

factor

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

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

Solution steps

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

36 x^{4} = (6 x^{2})^{2}

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

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

Apply Difference of Two Squares Formula:

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

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

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

10 \times \frac{2}{3}

\frac{a + b}{ab}

\frac{1 0 ^{- 2}}{1 0 ^{- 4}}

\frac{i}{1}

(- 8 - 9 i) 2

What is factor 36x^4-25y^6 ?
The solution to factor 36x^4-25y^6 is (6x^2+5y^3)(6x^2-5y^3)