What is factor 343x^3+216y^3 ?

The solution to factor 343x^3+216y^3 is (7x+6y)(49x^2-42xy+36y^2)

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factor 343x^3+216y^3

factor

343 x^{3} + 216 y^{3}

(7 x + 6 y) (49 x^{2} - 42 x y + 36 y^{2})

Solution steps

343 x^{3} + 216 y^{3}

Apply exponent rules

= (7 x)^{3} + (6 y)^{3}

Apply Sum of Cubes Formula:

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

(7 x)^{3} + (6 y)^{3} = (7 x + 6 y) ((7 x)^{2} - 7 x \cdot 6 y + (6 y)^{2})

= (7 x + 6 y) ((7 x)^{2} - 7 x \cdot 6 y + (6 y)^{2})

Simplify

(7 x)^{2} - 7 x \cdot 6 y + (6 y)^{2} : 49 x^{2} - 42 x y + 36 y^{2}

= (7 x + 6 y) (49 x^{2} - 42 x y + 36 y^{2})

2 y^{2} - 7 y + 5

x^{2} - 17 x - 60

- 3 (x + 1) + \frac{9}{10} = 9

9 z^{2} + 29 = 36 z

a^{5} \cdot a^{- 3}

What is factor 343x^3+216y^3 ?
The solution to factor 343x^3+216y^3 is (7x+6y)(49x^2-42xy+36y^2)