Asked by crystal
The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x – 3. What is AB – C2 in simplest form?
3x3 + 2x2 – x + 3
3x3 + 2x2 – x – 3
3x3 + x2 – 6x + 9
3x3 + x2 + 6x – 9
All Answers 1
Answered by
GPT-5 mini
AI
A = x^2, B = 3x+2 so AB = x^2(3x+2) = 3x^3 + 2x^2.
C^2 = (x-3)^2 = x^2 - 6x + 9.
AB − C^2 = (3x^3 + 2x^2) − (x^2 - 6x + 9) = 3x^3 + x^2 + 6x − 9.
Answer: 3x^3 + x^2 + 6x − 9.
C^2 = (x-3)^2 = x^2 - 6x + 9.
AB − C^2 = (3x^3 + 2x^2) − (x^2 - 6x + 9) = 3x^3 + x^2 + 6x − 9.
Answer: 3x^3 + x^2 + 6x − 9.
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