What is factor 343x^3-512 ?

The solution to factor 343x^3-512 is (7x-8)(49x^2+56x+64)

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factor 343x^3-512

factor

343 x^{3} - 512

(7 x - 8) (49 x^{2} + 56 x + 64)

Solution steps

343 x^{3} - 512

Apply exponent rules

= (7 x)^{3} - 8^{3}

Apply Difference of Cubes Formula:

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

(7 x)^{3} - 8^{3} = (7 x - 8) (7^{2} x^{2} + 8 \cdot 7 x + 8^{2})

= (7 x - 8) (7^{2} x^{2} + 8 \cdot 7 x + 8^{2})

Simplify

(7 x - 8) (7^{2} x^{2} + 8 \cdot 7 x + 8^{2}) : (7 x - 8) (49 x^{2} + 56 x + 64)

= (7 x - 8) (49 x^{2} + 56 x + 64)

y^{2} - y - 12

lo g_{2} (0.2)

- 16 (n + 2) - 15 < 1

- \frac{7}{6} + 8

\frac{1}{4} - 7

What is factor 343x^3-512 ?
The solution to factor 343x^3-512 is (7x-8)(49x^2+56x+64)