What is factor 27w^3-125 ?

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

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factor 27w^3-125

factor

27 w^{3} - 125

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

Solution steps

27 w^{3} - 125

Apply exponent rules

= (3 w)^{3} - 5^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

(3 w - 5) (3^{2} w^{2} + 5 \cdot 3 w + 5^{2}) : (3 w - 5) (9 w^{2} + 15 w + 25)

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

- 15 \leq - 6 X + 9 < 33

n^{2} - 9 = 16

73

\frac{2 x + b x - 2 y - b y}{7 x - 7 y}

\frac{16}{- 3}

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