What is factor x^4-121y^6 ?

The solution to factor x^4-121y^6 is (x^2+11y^3)(x^2-11y^3)

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factor x^4-121y^6

factor

x^{4} - 121 y^{6}

(x^{2} + 11 y^{3}) (x^{2} - 11 y^{3})

Solution steps

x^{4} - 121 y^{6}

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

121 y^{6} = (11 y^{3})^{2}

= (x^{2})^{2} - (11 y^{3})^{2}

Apply Difference of Two Squares Formula:

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

(x^{2})^{2} - (11 y^{3})^{2} = (x^{2} + 11 y^{3}) (x^{2} - 11 y^{3})

= (x^{2} + 11 y^{3}) (x^{2} - 11 y^{3})

(\frac{- 5}{x})^{2} \cdot (\frac{2 x ^{4}}{y ^{3}}) 2

(x + 2) (x - 1) (4 - x) \leq 0

3 x^{2} - 14 x - 24

∣ 2 x - 11 ∣ \geq 3

\frac{2}{3} (x - 7) = \frac{3}{4} (4 x - 5)

What is factor x^4-121y^6 ?
The solution to factor x^4-121y^6 is (x^2+11y^3)(x^2-11y^3)