What is factor x^{12}-y^{18} ?

The solution to factor x^{12}-y^{18} is (x^2+y^3)(x^4-x^2y^3+y^6)(x^2-y^3)(x^4+x^2y^3+y^6)

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factor x^{12}-y^{18}

factor

x^{12} - y^{18}

(x^{2} + y^{3}) (x^{4} - x^{2} y^{3} + y^{6}) (x^{2} - y^{3}) (x^{4} + x^{2} y^{3} + y^{6})

Solution steps

x^{12} - y^{18}

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

y^{18} = (y^{9})^{2}

= (x^{6})^{2} - (y^{9})^{2}

Apply Difference of Two Squares Formula:

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

(x^{6})^{2} - (y^{9})^{2} = (x^{6} + y^{9}) (x^{6} - y^{9})

= (x^{6} + y^{9}) (x^{6} - y^{9})

Factor

x^{6} + y^{9} : (x^{2} + y^{3}) (x^{4} - x^{2} y^{3} + y^{6})

= (x^{2} + y^{3}) (x^{4} - x^{2} y^{3} + y^{6}) (x^{6} - y^{9})

Factor

x^{6} - y^{9} : (x^{2} - y^{3}) (x^{4} + x^{2} y^{3} + y^{6})

= (x^{2} + y^{3}) (x^{4} - x^{2} y^{3} + y^{6}) (x^{2} - y^{3}) (x^{4} + x^{2} y^{3} + y^{6})

\frac{( 4 x + 4 )}{2}

\frac{( x ^{\frac{3}{2}} )}{( x ^{- \frac{1}{2}} )}

(x + y)^{4} - 1

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

v^{2} v^{6} + 4 v^{12}

What is factor x^{12}-y^{18} ?
The solution to factor x^{12}-y^{18} is (x^2+y^3)(x^4-x^2y^3+y^6)(x^2-y^3)(x^4+x^2y^3+y^6)