Answer:
Option A. 8x² - 25x + 7.
Step-by-step explanation:
The given polynomials are
A = 3x -4
B = x + 7
C = x² + 2
Now we have to find the simplest form of A² - (B + C)
A² = (3x - 4)² = 9x² + 16 -24 x
B + C = x + 7 + x² + 2 = x² + x + 9
Now A² - (B + C) = 9x² + 16 -24x -(x² + x + 9)
= 9x² -24x + 16 - x²- x - 9
= 8x² -25x + 7
Therefore Option A. 8x² - 25x + 7 is the answer.