tonya is correct because diego i looking for factors of the wrong number.to find the value that we need for the factor multiply the coefficient of the squared term times the constant.this will give a value of thirty.the factors of thirty are  are ten and three which add up to thirteen which is  the coefficient of the middle term.   so 2m^2+13m+15=(2m+3)(m+5)
x^2+3x+5 is a prime trinomial. there are no factors of five  that add up to three



Diana did not factor the binomial correctly. three is a factor of the binomial and the first step she did is correct. however a binomial  which is a sum cannot be further factored.
75x^2-27y^2=3(25x^2-9y^2)=3(5x-3y)(5x+3y).