What is factor 121x^4-81y^6z^4 ?

The solution to factor 121x^4-81y^6z^4 is (11x^2+9y^3z^2)(11x^2-9y^3z^2)

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factor 121x^4-81y^6z^4

factor

121 x^{4} - 81 y^{6} z^{4}

(11 x^{2} + 9 y^{3} z^{2}) (11 x^{2} - 9 y^{3} z^{2})

Solution steps

121 x^{4} - 81 y^{6} z^{4}

121 x^{4} = (11 x^{2})^{2}

81 y^{6} z^{4} = (9 y^{3} z^{2})^{2}

= (11 x^{2})^{2} - (9 y^{3} z^{2})^{2}

Apply Difference of Two Squares Formula:

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

(11 x^{2})^{2} - (9 y^{3} z^{2})^{2} = (11 x^{2} + 9 y^{3} z^{2}) (11 x^{2} - 9 y^{3} z^{2})

= (11 x^{2} + 9 y^{3} z^{2}) (11 x^{2} - 9 y^{3} z^{2})

x^{3} - 2 x^{2} + 2 x - 4

\frac{1}{( 1 + a ^{n - 1} )} + \frac{1}{( 1 + a ^{m - 1} )}

- (x - 9)

\frac{- 4 x}{2 x}

(2 y - 5) \cdot (3 y^{3.4})

What is factor 121x^4-81y^6z^4 ?
The solution to factor 121x^4-81y^6z^4 is (11x^2+9y^3z^2)(11x^2-9y^3z^2)