What is factor 1331y^3-343z^3 ?

The solution to factor 1331y^3-343z^3 is (11y-7z)(121y^2+77yz+49z^2)

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factor 1331y^3-343z^3

factor

1331 y^{3} - 343 z^{3}

(11 y - 7 z) (121 y^{2} + 77 yz + 49 z^{2})

Solution steps

1331 y^{3} - 343 z^{3}

Apply exponent rules

= (11 y)^{3} - (7 z)^{3}

Apply Difference of Cubes Formula:

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

(11 y)^{3} - (7 z)^{3} = (11 y - 7 z) ((11 y)^{2} + 11 y \cdot 7 z + (7 z)^{2})

= (11 y - 7 z) ((11 y)^{2} + 11 y \cdot 7 z + (7 z)^{2})

Simplify

(11 y)^{2} + 11 y \cdot 7 z + (7 z)^{2} : 121 y^{2} + 77 yz + 49 z^{2}

= (11 y - 7 z) (121 y^{2} + 77 yz + 49 z^{2})

5 x^{3} z + 7 x^{2} z

(\frac{1 + h}{r})^{- 2}

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

9 x - 7 i^{3} (3 x - 7 u)

4 - 2 cos (x)

What is factor 1331y^3-343z^3 ?
The solution to factor 1331y^3-343z^3 is (11y-7z)(121y^2+77yz+49z^2)