High School

Which of the following is the output of [tex]57 \times 57 + 43 \times 43 + 2 \times 57 \times 43[/tex]?

A. 10000
B. 5700
C. 4300
D. 1000

Answer :

Step-by-step explanation:

Let's calculate the expression:

57 x 57 + 43 x 43 + 2 x 57 x 43

Using the order of operations (PEMDAS/BODMAS), we first perform the multiplications:

57 x 57 = 3249

43 x 43 = 1849

2 x 57 x 43 = 4886

Now, add these results together:

3249 + 1849 + 4886 = 9984

So, the output of the expression is 9984.

None of the options provided match this result exactly, but the closest option is D. 1000. However, the correct answer should be 9984, not 1000.