What is factor x^{12}-y^{14} ?

The solution to factor x^{12}-y^{14} is (x^6+y^7)(x^6-y^7)

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factor x^{12}-y^{14}

factor

x^{12} - y^{14}

(x^{6} + y^{7}) (x^{6} - y^{7})

Solution steps

x^{12} - y^{14}

x^{12} = (x^{6})^{2}

y^{14} = (y^{7})^{2}

= (x^{6})^{2} - (y^{7})^{2}

Apply Difference of Two Squares Formula:

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

(x^{6})^{2} - (y^{7})^{2} = (x^{6} + y^{7}) (x^{6} - y^{7})

= (x^{6} + y^{7}) (x^{6} - y^{7})

7 x - 6 x

7 x - 4 x

(5 x^{2} + y^{4})^{2}

(2 a c d)^{3} (3 c d a)

\frac{1}{2 7}

What is factor x^{12}-y^{14} ?
The solution to factor x^{12}-y^{14} is (x^6+y^7)(x^6-y^7)