What is A2 – (B + C) in simplest form? A=8x2 – 25x + 7 B=8x2– 25x + 11 C=10x2 – 25x + 7 D=10x2 – 25x + 11 A, B, and C are polynomials, where: A = 3x – 4 B = x + 7 C = x2 + 2

1: 64x4 - 400x3 + 719x2 - 300x + 31

2: 8x2 -25x +7

Step-by-step explanation:

1: Using A=8x2 – 25x + 7, B=8x2– 25x + 11, C=10x2 – 25x + 7

Let's first compute A2:

A2 = (8x2 - 25x + 7)^2 = (8x2 - 25x + 7)*(8x2 - 25x + 7)

= 64x4 - 200x3 + 56x2 - 200x3 + 625x2 - 175x + 56x2 - 175x + 49

= 64x4 - 400x3 + 737x2 - 350x + 49

Now, let's compute (B + C):

B + C = 8x2– 25x + 11 + 10x2 – 25x + 7 = 18x2 - 50x + 18

Finally, we can do A2 - (B + C):

A2 - (B + C) = 64x4 - 400x3 + 737x2 - 350x + 49 - (18x2 - 50x + 18)

=  64x4 - 400x3 + 719x2 - 300x + 31

2: Using A = 3x – 4, B = x + 7, C = x2 + 2

A2 = (3x-4)^2 = (3x-4)*(3x-4) = 9x2 - 12x - 12x + 16 = 9x2 - 24x + 16

B + C = x + 7 + x2 + 2 = x2 + x + 9

A2 - (B + C) = 9x2 - 24x + 16 - (x2 + x + 9) = 8x2 -25x +7

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.