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

The solution to factor x^{12}-y^{12} is (x^2+y^2)(x^4-x^2y^2+y^4)(x+y)(x^2-xy+y^2)(x-y)(x^2+xy+y^2)

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

factor

x^{12} - y^{12}

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

Solution steps

x^{12} - y^{12}

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

x^{6} + y^{6} : (x^{2} + y^{2}) (x^{4} - x^{2} y^{2} + y^{4})

= (x^{2} + y^{2}) (x^{4} - x^{2} y^{2} + y^{4}) (x^{6} - y^{6})

Factor

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

= (x^{2} + y^{2}) (x^{4} - x^{2} y^{2} + y^{4}) (x + y) (x^{2} - x y + y^{2}) (x - y) (x^{2} + x y + y^{2})

\frac{6 n}{5} + \frac{1}{2} = \frac{4 n - 3}{10}

6 t^{2} + 5 = 2 t^{2} + 1

∣ 4 - x ∣ < ∣ 3 + 2 x ∣

∣ x + 19 ∣ < 5

b^{4} (3 a b^{3}) (2 a^{2} b^{- 5})

What is factor x^{12}-y^{12} ?
The solution to factor x^{12}-y^{12} is (x^2+y^2)(x^4-x^2y^2+y^4)(x+y)(x^2-xy+y^2)(x-y)(x^2+xy+y^2)