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

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

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factor 343x^3-1331y^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

(a + b)^{3} - 3 a \cdot b (a + b)

(3 y) (- 2 y^{8})

(14)^{2} + (15)^{2} + 20 x

\frac{2}{5 \cdot 125 m ^{4} \cdot n ^{6}}

3 x \cdot 2 y

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