What is factor 343y^3-216 ?

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

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factor 343y^3-216

factor

343 y^{3} - 216

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

Solution steps

343 y^{3} - 216

Apply exponent rules

= (7 y)^{3} - 6^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

3 y + 6 x

∣ 3 x + 2 ∣ = ∣ 4 x + 5 ∣

10 x^{2} - 5 x

5 \cdot 14

\frac{( 1 + 3 + 5 + x + x + x + x + x )}{( 4 \cdot 2 )} = 42

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