a3 10a2 25a2a3 9a2 5a a2 52a 1 a2 10a 252a2 9a 5 a

a^3 - 10a^2 + 25a/2a^3 - 9a^2 - 5a a^2 - 5/2a + 1 a^2 - 10a + 25/2a^2 - 9a - 5 a - 5/2a + 1 a + 5/2a - 1

Solution

( a^3 - 10a^2 + 25a ) / ( 2a^3 - 9a^2 - 5a )

taking the gcf out from top and bottom

a ( a^2 - 10a + 25 ) / a ( 2a^2 - 9a - 5 )

cancelling out a from top and bottom

( a^2 - 10a + 25 ) / ( 2a^2 - 9a - 5 )

factoring out each expression

a^2 - 10a + 25 = ( a-5)(a-5)

2a^2 - 9a - 5 = (2a+1)(a-5 )

therefore we have ( a-5)(a-5) / (2a+1)(a-5 )

cancelling out the common factor from top and bottom

(a-5) / (2a+1)

option c