What is factor 343x^3+512y^6 ?

The solution to factor 343x^3+512y^6 is (7x+8y^2)(49x^2-56xy^2+64y^4)

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factor 343x^3+512y^6

factor

343 x^{3} + 512 y^{6}

(7 x + 8 y^{2}) (49 x^{2} - 56 x y^{2} + 64 y^{4})

Solution steps

343 x^{3} + 512 y^{6}

Apply exponent rules

= (7 x)^{3} + (8 y^{2})^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(7 x)^{2} - 7 x \cdot 8 y^{2} + (8 y^{2})^{2} : 49 x^{2} - 56 x y^{2} + 64 y^{4}

= (7 x + 8 y^{2}) (49 x^{2} - 56 x y^{2} + 64 y^{4})

\frac{5}{6} a^{2} b - \frac{5}{12} a^{2} b

2^{2} + 1

2 \cdot (- 10)

\frac{cos ( x ) - sin ( x )}{sin ( x )}

(a + 1) (b + 1) (c + 1)

What is factor 343x^3+512y^6 ?
The solution to factor 343x^3+512y^6 is (7x+8y^2)(49x^2-56xy^2+64y^4)