What is factor 343y^3-1728 ?

The solution to factor 343y^3-1728 is (7y-12)(49y^2+84y+144)

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factor 343y^3-1728

factor

343 y^{3} - 1728

(7 y - 12) (49 y^{2} + 84 y + 144)

Solution steps

343 y^{3} - 1728

Apply exponent rules

= (7 y)^{3} - 1 2^{3}

Apply Difference of Cubes Formula:

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

(7 y)^{3} - 1 2^{3} = (7 y - 12) (7^{2} y^{2} + 12 \cdot 7 y + 1 2^{2})

= (7 y - 12) (7^{2} y^{2} + 12 \cdot 7 y + 1 2^{2})

Simplify

(7 y - 12) (7^{2} y^{2} + 12 \cdot 7 y + 1 2^{2}) : (7 y - 12) (49 y^{2} + 84 y + 144)

= (7 y - 12) (49 y^{2} + 84 y + 144)

x^{4} + x^{3} + x^{2} + x + 1 x - 1

[\frac{x - 2}{3 \cdot y}]^{3}

a^{5} - (\frac{1}{a ^{7}})

27 x^{3} \cdot y^{3} + 64

35 x^{3} y^{2} - 14 x^{2} y^{3}

What is factor 343y^3-1728 ?
The solution to factor 343y^3-1728 is (7y-12)(49y^2+84y+144)