Question

Are these expressions equivalent 3(5b-2) and 8b-5

Answer 1

No, if you multiply the factors in 3(5b-2) the equivalent expression would be 15b-6

Answer 2

No they are not!

Explanation:

Solve for b:

3 (5 b - 2) = 0

Divide both sides of 3 (5 b - 2) = 0 by 3:

(3 (5 b - 2))/3 = 0/3

3/3 = 1:

5 b - 2 = 0/3

0/3 = 0:

5 b - 2 = 0

Add 2 to both sides:

5 b + (2 - 2) = 2

2 - 2 = 0:

5 b = 2

Divide both sides of 5 b = 2 by 5:

(5 b)/5 = 2/5

5/5 = 1:

Answer: b = 2/5

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Solve for b:

8 b - 5 = 0

Add 5 to both sides:

8 b + (5 - 5) = 5

5 - 5 = 0:

8 b = 5

Divide both sides of 8 b = 5 by 8:

(8 b)/8 = 5/8

8/8 = 1:

Answer: b = 5/8