What is factor 343x^3-8y^3 ?

The solution to factor 343x^3-8y^3 is (7x-2y)(49x^2+14xy+4y^2)

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factor 343x^3-8y^3

factor

343 x^{3} - 8 y^{3}

(7 x - 2 y) (49 x^{2} + 14 x y + 4 y^{2})

Solution steps

343 x^{3} - 8 y^{3}

Apply exponent rules

= (7 x)^{3} - (2 y)^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

(7 x)^{2} + 7 x \cdot 2 y + (2 y)^{2} : 49 x^{2} + 14 x y + 4 y^{2}

= (7 x - 2 y) (49 x^{2} + 14 x y + 4 y^{2})

4 t^{3} - 15 t^{2} + 10 t

4 \frac{4}{7}

64 m^{2} - (m - 2 n)^{2}

(33 - 3 i)^{4}

21 \cdot 8

What is factor 343x^3-8y^3 ?
The solution to factor 343x^3-8y^3 is (7x-2y)(49x^2+14xy+4y^2)