Are 5p+5c and 5 (p+c) equivalent

Yes they are equivilent because of the distributive property

which is

a (b+c) = ab+ac

or in this case

5 (p+c) = 5p+5c

if you don't believe it * cough * * cough * * Brainiac01 * * cough * * cough*

then subsitute values

lets sayp=4 and c=3

5 (4) + 5 (3) = 5 (4+3)

20+15=5 (7)

35=35

tada

so the answer is yes