What is factor 64x^3-343 ?

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

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factor 64x^3-343

factor

64 x^{3} - 343

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

Solution steps

64 x^{3} - 343

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

3^{2} + 3^{2}

(m + 3) (5 m + 1) = 3 (m - 4) + 7

0.0000987 x^{2} - 0.009 x + 0.0613 = 0

6^{4} lo g_{6} (3)

\frac{9 !}{5 !}

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