Question

Determine if the following expressions are equivalent by first finding the value of each expression (show your work). State which (if any) are equivalent expressions and explain how you know.
a. 2² ∙ 3² − 2³− 1
b. 2²∙(3²−2³)−1
c. (2 ∙ 3)²−2³−1
pls help i will mark as brainlist please help quick

Answer 1

Answer:

The expressions a and c are equivalent.

Step-by-step explanation:

Before I solve for any value let us first go through PEMDAS

Full form of PEMDAS is Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction. If there are two operations of the same kind (Multiplication/Division) or (Addition/Subtraction) then we go from left to right.

a. 2² ∙ 3² − 2³− 1

= 4 ∙ 9 - 8 - 1

= 36 - 8 - 1

= 28 - 1

= 27

b. 2²∙ (3²−2³) − 1

= 2²∙ (9-8) - 1

= 2²∙ 1 - 1

= 4 ∙ 1 - 1

= 4 - 1

= 3

c. (2 ∙ 3)²−2³− 1

= 6² - 2³ - 1

= 36 - 8 - 1

= 28 - 1

= 27

So, we see that b = 3, whereas a = b = 27

So, the expressions a and c are equal.