What is factor x^4-y^{18} ?

The solution to factor x^4-y^{18} is (x^2+y^9)(x^2-y^9)

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factor x^4-y^{18}

factor

x^{4} - y^{18}

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

Solution steps

x^{4} - y^{18}

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

[\frac{y}{3} - \frac{x}{2}]^{3}

(x^{3} + 3)^{3}

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

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

5 (x - 3) (x^{2} + 4 x + 1)

What is factor x^4-y^{18} ?
The solution to factor x^4-y^{18} is (x^2+y^9)(x^2-y^9)