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? 3×3 + 2×2 – x +

Question

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? 3×3 + 2×2 – x + 3 3×3 + 2×2 – x – 3 3×3 + x2 – 6x + 9 3×3 + x2 + 6x – 9

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Sophia 2 weeks 2021-11-20T21:58:46+00:00 2 Answers 0

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    0
    2021-11-20T22:00:29+00:00

    Answer:

    AB – C² = 3x³ + x² + 6x – 9 ⇒ last answer

    Step-by-step explanation:

    * Lets study the problem to solve it

    – The variables are:

    # A = x²

    # B = 3x + 2

    # C = x – 3

    * At first lets find AB

    ∵ A = x² and B = 3x + 2

    ∴ AB = x²(3x + 2)

    ∵ x² × 3x = 3x³ ⇒ same base so we added the power

    ∵ x² × 2 = 2x² ⇒ coefficient of x² is 1 multiplied by 2

    ∴ AB = 3x³ + 2x²

    * At second find C²

    ∵ C = x – 3

    ∴ C² = (x – 3)²

    – To solve bracket to the power of 2 use this rule:

    # square the first term + 1st term × 2nd term × 2 + square the 2nd term

    ∴ (x – 3)² = (x²) + (x) (-3) (2) + (-3)² = x² – 6x + 9

    ∴ C² = x² – 6x + 9

    * Now lets find AB – C²

    ∵ AB – C² = 3x³ + 2x² – (x² – 6x + 9) ⇒ multiply the bracket by -ve sign

    ∵ -ve × -ve = +ve

    ∵ -ve × +ve = -ve

    ∴ AB – C² = 3x³ + 2x² – x² + 6x – 9 ⇒ Add the like terms

    ∴ AB – C² = 3x³ + x² + 6x – 9

    * AB – C² = 3x³ + x² + 6x – 9

    0
    2021-11-20T22:00:39+00:00

    Answer:

    d for edge2020

    Step-by-step explanation:

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