SOLUTION: 1. ac - bc + ad - bd 2. xy - 3x - 8y + 24 3. 4x2 + 20x + 5y +xy 4. 48x2y + 20xz +12xy + 5z

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: 1. ac - bc + ad - bd 2. xy - 3x - 8y + 24 3. 4x2 + 20x + 5y +xy 4. 48x2y + 20xz +12xy + 5z       Log On


   

Question 122550: 1. ac - bc + ad - bd
2. xy - 3x - 8y + 24

3. 4x2 + 20x + 5y +xy
4. 48x2y + 20xz +12xy + 5z

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to factor these?

I'll do the first two to get you started

# 1

ac-bc%2Bad-bd Start with the given expression

%28ac-bc%29%2B%28ad-bd%29 Group like terms


c%28a-b%29%2Bd%28a-b%29 Factor out the GCF c out of the first group. Factor out the GCF d out of the second group


%28c%2Bd%29%28a-b%29 Since we have the common term a-b, we can combine like terms

So ac-bc%2Bad-bd factors to %28c%2Bd%29%28a-b%29



# 2


xy-3x-8y%2B24 Start with the given expression

%28xy-3x%29%2B%28-8y%2B24%29 Group like terms


x%28y-3%29-8%28y-3%29 Factor out the GCF x out of the first group. Factor out the GCF -8 out of the second group


%28x-8%29%28y-3%29 Since we have the common term y-3, we can combine like terms

So xy-3x-8y%2B24 factors to %28x-8%29%28y-3%29