What is factor 343x^3-64y^3 ?

The solution to factor 343x^3-64y^3 is (7x-4y)(49x^2+28xy+16y^2)

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factor 343x^3-64y^3

factor

343 x^{3} - 64 y^{3}

(7 x - 4 y) (49 x^{2} + 28 x y + 16 y^{2})

Solution steps

343 x^{3} - 64 y^{3}

Apply exponent rules

= (7 x)^{3} - (4 y)^{3}

Apply Difference of Cubes Formula:

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

(7 x)^{3} - (4 y)^{3} = (7 x - 4 y) ((7 x)^{2} + 7 x \cdot 4 y + (4 y)^{2})

= (7 x - 4 y) ((7 x)^{2} + 7 x \cdot 4 y + (4 y)^{2})

Simplify

(7 x)^{2} + 7 x \cdot 4 y + (4 y)^{2} : 49 x^{2} + 28 x y + 16 y^{2}

= (7 x - 4 y) (49 x^{2} + 28 x y + 16 y^{2})

\frac{27 x ^{7} y ^{8}}{27 x y ^{5}}

\frac{3}{4}

4 x^{2} - 4 x + 2

16 u^{4} v^{3}

2 x^{2} + x - 2 = 0

What is factor 343x^3-64y^3 ?
The solution to factor 343x^3-64y^3 is (7x-4y)(49x^2+28xy+16y^2)