What is factor a^{12}-b^{12} ?

The solution to factor a^{12}-b^{12} is (a^2+b^2)(a^4-a^2b^2+b^4)(a+b)(a^2-ab+b^2)(a-b)(a^2+ab+b^2)

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factor a^{12}-b^{12}

factor

a^{12} - b^{12}

(a^{2} + b^{2}) (a^{4} - a^{2} b^{2} + b^{4}) (a + b) (a^{2} - ab + b^{2}) (a - b) (a^{2} + ab + b^{2})

Solution steps

a^{12} - b^{12}

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

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

= (a^{6})^{2} - (b^{6})^{2}

Apply Difference of Two Squares Formula:

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

(a^{6})^{2} - (b^{6})^{2} = (a^{6} + b^{6}) (a^{6} - b^{6})

= (a^{6} + b^{6}) (a^{6} - b^{6})

Factor

a^{6} + b^{6} : (a^{2} + b^{2}) (a^{4} - a^{2} b^{2} + b^{4})

= (a^{2} + b^{2}) (a^{4} - a^{2} b^{2} + b^{4}) (a^{6} - b^{6})

Factor

a^{6} - b^{6} : (a + b) (a^{2} - ab + b^{2}) (a - b) (a^{2} + ab + b^{2})

= (a^{2} + b^{2}) (a^{4} - a^{2} b^{2} + b^{4}) (a + b) (a^{2} - ab + b^{2}) (a - b) (a^{2} + ab + b^{2})

(11 a^{16} b^{3}) (\frac{4 a ^{3} b ^{6}}{c ^{8}})^{- 5}

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

\frac{\frac{1}{2}}{\frac{x}{a}} a^{2} + 2 a^{3} - 4 a^{4}

(\frac{3}{2 \cdot x + 1})^{3}

(a^{2} + 1)^{3}

What is factor a^{12}-b^{12} ?
The solution to factor a^{12}-b^{12} is (a^2+b^2)(a^4-a^2b^2+b^4)(a+b)(a^2-ab+b^2)(a-b)(a^2+ab+b^2)