SOLUTION: Hello out there,I need some help with some problems,the first one is Find the excluded values for:6/m(m+1).The next one is,Find the excluded values for:4s/s^2+3s.The third one is,F

Algebra ->  Equations -> SOLUTION: Hello out there,I need some help with some problems,the first one is Find the excluded values for:6/m(m+1).The next one is,Find the excluded values for:4s/s^2+3s.The third one is,F      Log On


   

Question 117010: Hello out there,I need some help with some problems,the first one is Find the excluded values for:6/m(m+1).The next one is,Find the excluded values for:4s/s^2+3s.The third one is,Find the product:4(x-y)/x times x/x-y.And the last one is,Simplify:a+3/4(a+3),thanks to whoever can help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
#1
%286%29%2F%28m%28m%2B1%29%29 Start with the given expression


m%28m%2B1%29=0 Set the denominator equal to zero. Remember, dividing by 0 is undefined. So if we find values of m that make the denominator zero, then we must exclude them from the domain.



Now set each factor equal to zero:
m=0 or m%2B1=0

m=0 or m=-1 Now solve for m in each case


So our answer is
m=0 or m=-1



Since m=-1 and m=0 make the denominator equal to zero, this means we must exclude m=-1 and m=0 from our domain





#2

%284s%29%2F%28s%5E2%2B3s%29 Start with the given expression


s%5E2%2B3s=0 Set the denominator equal to zero. Remember, dividing by 0 is undefined. So if we find values of s that make the denominator zero, then we must exclude them from the domain.


s%28s%2B3%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
s=0 or s%2B3=0

s=0 or s=-3 Now solve for s in each case


So our answer is
s=0 or s=-3

Since s=-3 and s=0 make the denominator equal to zero, this means we must exclude s=-3 and s=0 from our domain






#3


%284%28x-y%29%2Fx%29%2A%28x%2F%28x-y%29%29 Start with the given expression


%284%2Across%28x-y%29%2Fcross%28x%29%29%2A%28cross%28x%29%2Fcross%28x-y%29%29 Cancel like terms

4 Simplify

So %284%28x-y%29%2Fx%29%2A%28x%2F%28x-y%29%29 simplifies to 4. In other words, %284%28x-y%29%2Fx%29%2A%28x%2F%28x-y%29%29=4






#4


%28a%2B3%29%2F%284%28a%2B3%29%29 Start with the given expression


cross%28a%2B3%29%2F%284%2Across%28a%2B3%29%29 Cancel like terms


1%2F4 Simplify


So %28a%2B3%29%2F%284%28a%2B3%29%29 simplifies to 1%2F4. In other words, %28a%2B3%29%2F%284%28a%2B3%29%29=1%2F4