Question

Factors of 125y^3-1 are
O (5y+1)(25y^2+5y+1)
O (5y-1)(25y^2-5y+1)
O (5y-1)(25y^2+5y+1)
O (5y+1)(25y^2-5y-1)​

Answer 1

Answer:

125y³ - 1 = (5y-1) ( 25y²+5y+1)

Step-by-step explanation:

125y³ - 1

= (5y)³ - 1³

= (5y-1) ( (5y)² + (5y)(1) + 1² )

= (5y-1) ( 25y²+5y+1)

Formula used : a³-b³ = (a-b)(a²+ab+b²)