Why must the excluded values of each expression in a sum or difference of rational expressions also be excluded values for the simplified expression

If included, they will make the denominator in the simplified expression equal to zero.

Step-by-step explanation:

-Excluded values are values that will make the denominator of a fraction equal to 0. You can't divide by 0, so it's very important to find these excluded values when you're solving a rational expression.

-They would have a similar effect to the simplified expression,will make the denominator of a fraction equal to 0.

-Hence, we exclude them in the simplified expression too.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.