Answer:
5y(2y-3)^2
Steps:
Factor 5y out of 20y^3 - 60y^2 + 45y
5y ( 4y^2) - 60y^2 + 45y
5y ( 4y^2) +5y ( - 12y ) + 45y
5y ( 4y^2) +5y ( - 12y ) + 5y ( 9 )
5y ( 4y^2 - 12y ) + 5y ( 9 )
5y ( 4y^2 - 12y + 9 )
Factor using the perfect square rule
5y ( (2y)^2 - 12y + 9 )
5y ( (2y)^2 - 12y + 3^2 )
2ab = 2 • ( 2y ) • - 3
Simplify.
2ab = - 12y
Answer :
5y ( 2y - 3 ) ^2.
