Question

(a + b) - c = a + (b - c)

errm use properties and definitions of operations to show that the statement is true. I just want to know how to do the steps :c Or Justify each step

Answer 1

we could just add c to both sides i spose

Answer 2

distrbute the 1 thru the paranthesis, and add a c to both sides ... is my thoughts

Answer 3

@amistre64 errr theres no 1....theres only a, b, and c...no numbers .-. and that's not how you do it lul

Answer 4

there is a 1, its implied

Answer 5

if you have another way to approach it, then by all means, go for it

Answer 6

Heres a example "with number" 7a + (4+5a) = 12a + 4
7a + (4+5a) = 7a + (5a+4) = commutative property of addition
= (7a + 5a) + 4 = associative property of addition
= 12a + 4 = combine like terms @amistre64

Answer 7

are distribution and inverse part of your properties?

Answer 8

@amistre64 Yes.

Answer 9

hmm, they and it seems that you are not really equating both sides, but rather trying to transform the left into the right ....

Answer 10

well,

(a+b) - c

1(a+b)-c

1a + 1b - c

a + b - c

a + b + (- c)

a + 1b + 1(- c)

a + 1(b + (- c))

there are a myriad of ways to approach this. but the simplest just seems to be associativity of addition

Answer 11

associativity is an application of the distributive property ... and combining like terms is undoing the distributive property:

7a + 4a = (7+4)a, by factoring out an a