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

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

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factor 216x^3-125y^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

1.06 g - 3 = 0.71

e^{- 1} - 1

8 t^{3} + 125

\frac{10 !}{( 10 - 1 ) ! 1 !}

x^{2} - 2 x y + y^{2}

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