Given the following segment of code,

/ / postcondition:returns x + y public int add (int x, int y) {}

/ / postcondition:return x * y public int multiply (int x, int y) {}

which of the following corresponds to this expression?

multiply (add (multiply (a, b), add (multiply (a, c), multiply (b, c))), 2)

1. a * b + a * c + b * c * 2

2. a * b + a * c + b * c + 2

3. a * b + (a * c + b * c)

4. (a * b + a * c + b * c) * 2

5.2 * a * b + (a * c + b * c)

Question

Computers and Technology

Roy Whitney

29 July, 14:24

Given the following segment of code,

/ / postcondition:returns x + y public int add (int x, int y) {}

/ / postcondition:return x * y public int multiply (int x, int y) {}

which of the following corresponds to this expression?

multiply (add (multiply (a, b), add (multiply (a, c), multiply (b, c))), 2)

1. a * b + a * c + b * c * 2

2. a * b + a * c + b * c + 2

3. a * b + (a * c + b * c)

4. (a * b + a * c + b * c) * 2

5.2 * a * b + (a * c + b * c)

+1

Answers (1)

Know the Answer?

Brody James · Answer 1

The whole line of code that performs an operation is this one:

multiply (add (multiply (a, b), add (multiply (a, c), multiply (b, c))), 2)

Let's do it step by step:

Step 1: Perform the inner group of parenthesis. Then expand going out, until you reach the bigger parenthesis.

Just bear in mind that multiply () = x * y

and add () = x + y

Last step: Get the final expression

((a * b) + (a*c + b*c)) * 2