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

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

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factor x^4-36y^6

factor

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

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

Solution steps

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

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

42 x^{5} y + 36 x^{2} y^{4}

6 (k + 2 m)

405 x^{2}

(t + h)^{2}

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