A, b, and c are polynomials, where:
a = 3x – 4
b = x + 7
c = x2 + 2
what is a2 – (b + c) in simplest form?
a. 8x2 – 25x + 7
b .8x2– 25x + 11
c. 10x2 – 25x + 7
d. 10x2 – 25x + 11

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.

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