Simplify the Expression: a+b+c-(a-b-c) Step by Step

Question

a+b+c(abc)=? a+b+c-(a-b-c)=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Always solve parentheses first
00:10 Note, negative times positive is always negative
00:13 Note, negative times negative is always positive
00:25 Collect like terms
00:38 And this is the solution to the question

Step-by-Step Solution

Firstly we need to look at the expression inside of parentheses.

Remember:

When we multiply a negative number by a negative number, the result will be positive.

When we multiply a positive number by a negative number, the result will be negative.

Therefore:

a+b+ca+b+c= a+b+c-a+b+c=

Now let's combine the a a terms:

aa=0 a-a=0

Then we can combine the b b terms:

b+b=2b b+b=2b

Finally let's combine the c c terms:

c+c=2c c+c=2c

This leaves us with:

0+2b+2c=2b+2c 0+2b+2c=2b+2c

Answer

2b+2c 2b+2c