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

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) (Show Source): You can put this solution on YOUR website!
#1
Start with the given expression

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:
or

or Now solve for m in each case

So our answer is
or

Since and make the denominator equal to zero, this means we must exclude and from our domain

#2

Start with the given expression

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.

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for s in each case

So our answer is
or

Since and make the denominator equal to zero, this means we must exclude and from our domain

#3

Start with the given expression

Cancel like terms

Simplify

So simplifies to 4. In other words,

#4

Start with the given expression

Cancel like terms

Simplify

So simplifies to . In other words,
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