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

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

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factor 36y^6-x^2

factor

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

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

Solution steps

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

Simplify

36 y^{6} : (6 y^{3})^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

\frac{1}{3} + \frac{5}{1}

27 x^{2} - 75

\frac{8}{81} + \frac{18}{9}

8 + 1

9 + 1