What is factor+343x^3-27 ?

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

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factor+343x^3-27

factor

+ 343 x^{3} - 27

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

Solution steps

343 x^{3} - 27

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

\frac{4}{5} \div \frac{1}{8}

64 a^{3} b - 32 a^{3} + 16 a^{2} b - 8 a^{2}

(2 x - 7) (3 x^{2} + 4 x - 1)

56 \cdot 5

(3 x + 8) (2 x^{2} - 3 x + 3)

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