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Simplify by combining like terms: 3x squared + 7x + 9 + 7x squared + 9x + 8.

A10x squared + 16x + 17
B10x squared + 17x + 16
C21x squared + 16x + 17
D10x squared + 16x + 1
Answer & Solution
Correct answer: A. 10x squared + 16x + 17
1. Group the like terms: the x squared terms, the x terms, and the constants. 2. Combine the x squared terms: 3x squared plus 7x squared equals 10x squared. 3. Combine the x terms: 7x plus 9x equals 16x. 4. Combine the constants: 9 plus 8 equals 17. 5. The result is 10x squared plus 16x plus 17. 6. The option ending in 17x plus 16 swaps the two sums, and 21x squared multiplies the coefficients 3 and 7 instead of adding them. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.2 Use the Language of Algebra_
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