What is factor y^3-125z^3 ?

The solution to factor y^3-125z^3 is (y-5z)(y^2+5yz+25z^2)

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factor y^3-125z^3

factor

y^{3} - 125 z^{3}

(y - 5 z) (y^{2} + 5 yz + 25 z^{2})

Solution steps

y^{3} - 125 z^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

y^{2} + y \cdot 5 z + (5 z)^{2} : y^{2} + 5 yz + 25 z^{2}

= (y - 5 z) (y^{2} + 5 yz + 25 z^{2})

3 (v + 2) + 2 v = 7 (v - 1) + 9

(2 x^{- \frac{1}{2}})^{4}

x^{2} + 10 x - 56

10 x^{2} + 4 x + 2 = 0

2 t^{2} + 9 t - 11

What is factor y^3-125z^3 ?
The solution to factor y^3-125z^3 is (y-5z)(y^2+5yz+25z^2)