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Parts of algebraic expressions
Consider the expression

(1)/(2)(2a+1)(a+3)". "
Complete 2 descriptions of the parts of the expression.

The entire expression is the product of
On its own, 
(2a+1) is a sum with
2 factors
3 factors
2 terms
3 terms

Parts of algebraic expressions\newlineConsider the expression\newline12(2a+1)(a+3) \frac{1}{2}(2 a+1)(a+3) \text {. } \newlineComplete 22 descriptions of the parts of the expression.\newline11. The entire expression is the product of\newline22. On its own, (2a+1) (2 a+1) is a sum with\newline22 factors\newline33 factors\newline22 terms\newline33 terms

Full solution

Q. Parts of algebraic expressions\newlineConsider the expression\newline12(2a+1)(a+3) \frac{1}{2}(2 a+1)(a+3) \text {. } \newlineComplete 22 descriptions of the parts of the expression.\newline11. The entire expression is the product of\newline22. On its own, (2a+1) (2 a+1) is a sum with\newline22 factors\newline33 factors\newline22 terms\newline33 terms
  1. Identifying Factors: The entire expression is the product of three factors: the fraction (12)(\frac{1}{2}), the binomial (2a+1)(2a+1), and the binomial (a+3)(a+3).
  2. Understanding (2a+1)(2a+1): On its own, (2a+1)(2a+1) is an algebraic expression that consists of two terms: 2a2a and 11. These terms are added together, hence it is a sum.
  3. Counting Terms in (2a+1)(2a+1): To determine the number of terms in (2a+1)(2a+1), we count the number of distinct algebraic terms separated by a plus (+)(+) or minus ()(-) sign. In (2a+1)(2a+1), there are two such terms: 2a2a and 11.

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