Multiplying Polynomials and Simplifying Expressions Answers

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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

Use the chart to multiply the binomial by the trinomial.

y3 + 27

y3 – 27

y3 – 6y2 + 27

y3 + 6y2 + 27

Sharina simplified the expression 3(2x – 6 – x + 1)2 – 2 + 4x. In Step 1 she simplified within the parentheses. In Step 2 she expanded the exponent.

Simplify the expression by adding and subtracting from left to right.

Combine like terms within the parentheses.

Combine all x-terms.

Distribute the 3 to each term in the parentheses by multiplying.

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