What is factor 343z^3+27x^3 ?

The solution to factor 343z^3+27x^3 is (7z+3x)(49z^2-21zx+9x^2)

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factor 343z^3+27x^3

factor

343 z^{3} + 27 x^{3}

(7 z + 3 x) (49 z^{2} - 21 z x + 9 x^{2})

Solution steps

343 z^{3} + 27 x^{3}

Apply exponent rules

= (7 z)^{3} + (3 x)^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(7 z)^{2} - 7 z \cdot 3 x + (3 x)^{2} : 49 z^{2} - 21 z x + 9 x^{2}

= (7 z + 3 x) (49 z^{2} - 21 z x + 9 x^{2})

5 x^{2} - 21 x - 20

5 v^{2} - 30 v + 40

20 x^{2} y - 28 x

\frac{8 a ^{3} - b ^{3}}{2 a - b}

2 x - 3 (x + 3) < 14

What is factor 343z^3+27x^3 ?
The solution to factor 343z^3+27x^3 is (7z+3x)(49z^2-21zx+9x^2)