What is factor 8y^3-125y^6 ?

The solution to factor 8y^3-125y^6 is -y^3(5y-2)(25y^2+10y+4)

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factor 8y^3-125y^6

factor

8 y^{3} - 125 y^{6}

- y^{3} (5 y - 2) (25 y^{2} + 10 y + 4)

Solution steps

8 y^{3} - 125 y^{6}

Write in the standard form

= - 125 y^{6} + 8 y^{3}

Factor out

- 1 : - (125 y^{6} - 8 y^{3})

= - (125 y^{6} - 8 y^{3})

Factor

125 y^{6} - 8 y^{3} : y^{3} (5 y - 2) (5^{2} y^{2} + 2 \cdot 5 y + 2^{2})

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

Simplify

- y^{3} (5 y - 2) (5^{2} y^{2} + 2 \cdot 5 y + 2^{2}) : - y^{3} (5 y - 2) (25 y^{2} + 10 y + 4)

= - y^{3} (5 y - 2) (25 y^{2} + 10 y + 4)

∣ 4 x - 5 ∣ = ∣ 9 - 4 x ∣

2^{l o g_{2} (n)}

3 p^{2} - 2 p - 5

6 - (- 6)

x^{2} - 3 x + 2

What is factor 8y^3-125y^6 ?
The solution to factor 8y^3-125y^6 is -y^3(5y-2)(25y^2+10y+4)