Problem

Let the following law of algebra be the first statement of an argument: For all real numbe...

Let the following law of algebra be the first statement of an argument: For all real numbers a and b,

(a + b)2 = a2 + 2ab + b2.

Suppose each of the following statements is, in turn, the second statement of the argument. Use universal instantiation or universal modus ponens to write the conclusion that follows in each case.

a. a = x and b = y are particular real numbers.


b. a = fi and b = fj are particular real numbers.


c. a = 3u and b = 5v are particular real numbers.


d. a = g(r) and b = g(s) are particular real numbers.


e. a = log(t1) and b = log(t2) are particular real numbers.

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Solutions For Problems in Chapter 3.4