perform indicated operations.

Question

(a+3)/(5a+25)-(a-1)/(3a+15)

(a+3)/5(a+5)-(a-1)/3(a+5)=(a+3)5(a+5)/5(a+5)3(a+5)-(a-1)5(a+5)/5(a+5)3(at5)= 5a^2+25a+15a+75+5a^2+25a-5a-25/5(a+5)3(a+5)
i got (10a^2+60a-50)/5(a+5)3(a+5)and that's wrong. where did i go wrong?

Answer 1

(a+3)/(5a+25)-(a-1)/(3a+15)

(a+3)/5(a+5)-(a-1)/3(a+5)
=(a+3)3(a+5)/5(a+5)3(a+5)-(a-1)5(a+5)/5(a+5)3(a+5)

Aside from that, I'd not include (a+5) twice, making it

=3(a+3)/15(a+5) - 5(a-1)/15(a+5)
= (3a+9-5a+5)/15(a+5)
= 2(7-a)/15(a+5)

Answer 2

Since the a+5 is already common, you don't need it twice
LCD = 15(x+5)
so your second line
= 3(a+3)/(15(a+5)) - 5(a-1)/(15(a+5))
= (3a+9 - 5a + 5)/(15(a+5))
= (-2a + 14)/(15(a+5))
=-2(a-7)/(15(a+5))