Question

simplify
2/5(a+b)+3/5(a+c)

Answer 1

distribute 2/5 and 3/5 into the ():
2/5(a+b)+3/5(a+c)

2/5 a+ 2/5 b+3/5 a+ 3/5 c

combine the like terms:
2/5 a+3/5 a= 5/5 a --> 1a --> a

new simplified equation:
a+2/5 b+3/5 c

Answer 2

Distribute

(2/5) (a) + (2/5) (b) + (3/5)(a) +(3/5)(c)

= 2/5a+2/5b+3/5a+3/5c

Combine like terms

2/5 a + 2/5 b + 3/5 a + 3/5 c

= ( 2/5 a + 3/5 a ) + ( 2/5 b) +(3/5 c)

= a + 2/5 b +3/5 c

I hope that's help !