What is factor 343x^3-125y^3 ?

The solution to factor 343x^3-125y^3 is (7x-5y)(49x^2+35xy+25y^2)

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factor 343x^3-125y^3

factor

343 x^{3} - 125 y^{3}

(7 x - 5 y) (49 x^{2} + 35 x y + 25 y^{2})

Solution steps

343 x^{3} - 125 y^{3}

Apply exponent rules

= (7 x)^{3} - (5 y)^{3}

Apply Difference of Cubes Formula:

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

(7 x)^{3} - (5 y)^{3} = (7 x - 5 y) ((7 x)^{2} + 7 x \cdot 5 y + (5 y)^{2})

= (7 x - 5 y) ((7 x)^{2} + 7 x \cdot 5 y + (5 y)^{2})

Simplify

(7 x)^{2} + 7 x \cdot 5 y + (5 y)^{2} : 49 x^{2} + 35 x y + 25 y^{2}

= (7 x - 5 y) (49 x^{2} + 35 x y + 25 y^{2})

2 x^{2} + 22 x - 24

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

y y

245 u^{11} v^{13} w^{15}

\frac{2}{5} + \frac{5}{2}

What is factor 343x^3-125y^3 ?
The solution to factor 343x^3-125y^3 is (7x-5y)(49x^2+35xy+25y^2)