Find the quotient of (b-4/b)÷(4/b)?

Question

Find the quotient of (b-4/b)÷(4/b)

Answer 1

(b-4/b)/(4/b)

=

(b-4/b)(b/4)

=

(b^2)/4-1

Answer 2

(b - 4/b) ÷ (4/b)

= b^2/4 - 1

Answer 3

(b-4/b)÷(4/b)

In accord with the PEMDAS rules for priority and order of operations:

= b/(4/b) - (4/b)/(4/b)

= b²/4 - 1

= (b²-4)/4 : with the stipulation that b ≠ 0

Answer 4

(b - 4/b) / (4/b)



= ((b^2 - 4) / b) / (4/b)



= (b^2 - 4) / 4 for all nonzero b. (Or (b^2)/4 - 1.)



Or:



((b - 4)/b) / (4/b)



= (b - 4) / 4. (Or b/4 - 1. Again, this is for all nonzero b.)

Answer 5

you are getting various answers because the question is ambiguous



case 1:

(b-(4/b))÷(4/b)

(b-(4/b)) / (4/b)

multiply by b/b

(b² – 4) / 4

or

(b²/4) – 1



case 2:

((b-4)/b)÷(4/b)

((b-4)/b) / (4/b)

multiply by b/b

(b–4)/4

or

(b/4) – 1

Answer 6

.



(b - 4/b) ÷ 4/b

= 1/b (b² - 4) × b/4

= ¼ ( b² - 4 )

= ¼ (b - 2)(b + 2)

————————

Answer 7

(b - 4/b) ÷ (4/b)



= (b^2 - 4)/b ÷ (4/b)



= (b^2 - 4) ÷ 4



= b^2/4 - 1

Answer 8

(b^2-4)/4

Answer 9

- 1 + ( b / 4 ) , b ╪ 0...assuming ( b - 4 ) / b divided by 4 / b