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

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

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factor 343x^3+27y^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

97 = 215 t - 16 t^{2}

3 x^{2} - 14 x + 8 > 0

- 4 a^{2} b - 5 a^{2} b

2 s^{2} + 3 s - 2

\frac{a b ^{2}}{a c} + \frac{c ^{2} b}{ab}

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