What is factor 36x^2-25y^4 ?

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

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factor 36x^2-25y^4

factor

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

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

Solution steps

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

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

8 x^{2} - 56 x + 48

x^{2} + 5 x + 7 x + 35

23 \times 27

\frac{22}{33}

4^{2} \times 4^{3}

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