What is factor 27x^3-125y^3 ?

The solution to factor 27x^3-125y^3 is (3x-5y)(9x^2+15xy+25y^2)

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factor 27x^3-125y^3

factor

27 x^{3} - 125 y^{3}

(3 x - 5 y) (9 x^{2} + 15 x y + 25 y^{2})

Solution steps

27 x^{3} - 125 y^{3}

Apply exponent rules

= (3 x)^{3} - (5 y)^{3}

Apply Difference of Cubes Formula:

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

(3 x)^{3} - (5 y)^{3} = (3 x - 5 y) ((3 x)^{2} + 3 x \cdot 5 y + (5 y)^{2})

= (3 x - 5 y) ((3 x)^{2} + 3 x \cdot 5 y + (5 y)^{2})

Simplify

(3 x)^{2} + 3 x \cdot 5 y + (5 y)^{2} : 9 x^{2} + 15 x y + 25 y^{2}

= (3 x - 5 y) (9 x^{2} + 15 x y + 25 y^{2})

\frac{2}{7} \cdot 3

3 ∣ x - 8 ∣ + 3 \geq 12

4 (n + 2) - 3 n < 12

4 r^{2} + 36 r + 81

- 5 (- 2 - 3 k) = - 65

What is factor 27x^3-125y^3 ?
The solution to factor 27x^3-125y^3 is (3x-5y)(9x^2+15xy+25y^2)