What is factor 125x^3-216y^3 ?

The solution to factor 125x^3-216y^3 is (5x-6y)(25x^2+30xy+36y^2)

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factor 125x^3-216y^3

factor

125 x^{3} - 216 y^{3}

(5 x - 6 y) (25 x^{2} + 30 x y + 36 y^{2})

Solution steps

125 x^{3} - 216 y^{3}

Apply exponent rules

= (5 x)^{3} - (6 y)^{3}

Apply Difference of Cubes Formula:

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

(5 x)^{3} - (6 y)^{3} = (5 x - 6 y) ((5 x)^{2} + 5 x \cdot 6 y + (6 y)^{2})

= (5 x - 6 y) ((5 x)^{2} + 5 x \cdot 6 y + (6 y)^{2})

Simplify

(5 x)^{2} + 5 x \cdot 6 y + (6 y)^{2} : 25 x^{2} + 30 x y + 36 y^{2}

= (5 x - 6 y) (25 x^{2} + 30 x y + 36 y^{2})

- 2 x^{2} - 9 x + 7 = 0

n^{2} - 2 n - 35

5 x^{2} = - 2 x + 2

7 x^{2} + 10 x - 3 = x^{2} + 3 x

- 16 t^{2} + 33 t - 17

What is factor 125x^3-216y^3 ?
The solution to factor 125x^3-216y^3 is (5x-6y)(25x^2+30xy+36y^2)