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AssignmentMultiple Choice

Addition and Subtraction of Polynomials

Question 1 • FL-1200330-Algebra 2 CR

(3a2 – 5ab + b2) + (–3a2 + 2b2 + 8ab)Which of the following shows the sum of the polynomials rewritten with like terms grouped together?

Answer
A
[3a2 + (–3a2)] + (–5ab + 8ab) + (b2 + 2b2)
B
[3a2 + (–3a2)] + (–5ab + 2b2) + (b2 + 8ab)
C
[3a2 + 3a2] + (5ab + 8ab) + (b2 + 2b2)
D
[3a2 + 3a2] + (5ab + 2b2) + (b2 + 8ab)

Explanation

Group terms that have the same variable part: the a² terms are 3a² and −3a², the ab terms are −5ab and 8ab, and the b² terms are b² and 2b². This gives [3a² + (−3a²)] + (−5ab + 8ab) + (b² + 2b²), which is choice A.

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