What is factor 216y^3-125 ?

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

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factor 216y^3-125

factor

216 y^{3} - 125

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

Solution steps

216 y^{3} - 125

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

ln (4) - ln (2)

884

x^{2} - 5 < 0

5 x - (x + 2) > - 5 (1 + x) + 3

\frac{p ^{3} q ^{- 1}}{q ^{2} r ^{- 6}}

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