Disprove the following statement by giving a counterexample. (enter your answers as a comma-separated list.) for every integer p, if p is prime then p2 − 1 is even.

The given statement is not always true.

Step-by-step explanation:

The given statement is not true,

We have the statement that,

p² - 1 is even number; if p is any prime number.

But this statement is not true always as,

Examples: 2 is a prime number and 2² - 1 = 3

But, 3 is not even.

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step-by-step explanation:

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!