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

Respuesta :

Answer:

A.) 8x2 – 25x + 7

Step-by-step explanation:

The expression A² – (B + C) in its simplest form is 8x² – 25x + 7

Data obtained from the question

  • A = 3x – 4
  • B = x + 7
  • C = x² + 2
  • A² – (B + C) =?

How to express A² – (B + C) in its simplest form

A² – (B + C)

(3x – 4)² – (x + 7 + x² + 2)

9x² – 12x – 12x + 16 – (x + x² + 9)

9x² – 24x + 16 – x – x² – 9

9x² – x² – 24x – x + 16  – 9

8x² – 25x + 7

Thus,

A² – (B + C) = 8x² – 25x + 7

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