1. what are the excluded values?

y+5

y^2+4y-32

a) y = -5 and 4
b) y = 5 and 32
c) y = 4 and -8
d) none of the above

2. what are the excluded values?

-7z

4z+1

a) z=-4
b) z= -1/4
c) z= -1/7
d) none of the above

3. what are the excluded values?

m+5

mn+3m

a) m = -5, n = -3
b) m = 0, n = -3
c) m = -3, n = 0

4. reduce to lowest terms.

6a^2b^3

8ab^4

a) 3b/4a
b) 3a/4b
c) 3/4ab

5. reduce to lowest terms.

3-k

k-3

a) -1
b) 1
c) -1/3

correct option is (C)

Step-by-step explanation:

Q 1.)

To find excluded values, we equate denominator of above expression to zero:

solve above expression by middle term splitting,

factor out GCF,

factor out the common terms,

Hence, the correct option is (C)

Q 2.)

To find excluded values, we equate denominator of above expression to zero:

subtract 1 from both the sides,

divide both the side by 4,

Hence, the correct option is (B).

Q 3.)

To find excluded values, we equate denominator of above expression to zero:

Take common factor out 'm',

Hence, the correct option is (B)

Q 4.)

To reduce tom lowest term, cancel out the common denominators term with numerators;

Using the low of exponent \frac{a^n}{a^m}=a^n-m,

so,

Hence, the correct option is (B)

Q 5.)

To reduce tom lowest term, cancel out the common denominators term with numerators;

Hence, the correct option is (A)