Which expression is equivalent to 14
x − 36?
Responses
A 14
(x + 144)1 4 (x + 144)
B 14
(x − 144)1 4 (x − 144)
C 14
(x − 9)1 4 (x − 9)
D 4x − 94x − 9
D) 4x - 9
To find the expression that is equivalent to 14x - 36, we need to simplify the expression.
The correct answer is C) 14(x - 9).
Explanation:
To simplify the given expression, we distribute the 14 to each term within the parentheses:
14(x - 9) = 14 * x - 14 * 9 = 14x - 126.
Therefore, the expression 14x - 36 is equivalent to 14(x - 9), which is option C.
To find the expression that is equivalent to 14x - 36, we can distribute the 14 to both terms inside the parentheses.
So, 14 * x is equal to 14x, and 14 * (-36) is equal to -504.
Therefore, the equivalent expression is 14x - 504.
None of the options provided match this expression, so none of the options A, B, C, or D is correct.