*Is the statement below true of false?
The expression (14x + 7y) + 5x + 9(33y + 11) is the sum of three terms.
I think this question is true. please explain this to me.Nobody respone to me.
the statement is true. Each expression in parentheses is a factor. +/- signs inside parentheses are hidden from the general expression, where terms are separated by + and - signs. Placing brackets around the terms, we have
[(14x + 7y)] + [5x] + [9(33y + 11)]
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To determine whether the statement is true or false, we need to understand the concept of terms in an expression.
In algebraic expressions, terms are separated by addition or subtraction. A term can consist of a combination of constants, variables, and coefficients that are multiplied together.
Let's break down the given expression: (14x + 7y) + 5x + 9(33y + 11)
We have three terms separated by addition:
1. (14x + 7y)
2. 5x
3. 9(33y + 11)
The first term, (14x + 7y), is enclosed in parentheses, signifying that it is a separate entity on its own. Inside the parentheses, we have two terms: 14x and 7y.
The second term, 5x, consists of a single term without any addition or subtraction.
The third term, 9(33y + 11), is also enclosed in parentheses. Within the parentheses, we have two terms: 33y and 11. The coefficient 9 is multiplied by the entire expression within the parentheses, making it a single term as well.
Thus, the given expression can be considered as the sum of three terms: (14x + 7y), 5x, and 9(33y + 11).
Therefore, the statement "The expression (14x + 7y) + 5x + 9(33y + 11) is the sum of three terms" is true.