Question

identify which expressions are equivalent to the
21x - 63

which of the following is equivalent to the express
a. 7(3x - 9)
b. 7(3x - 4)
c. (8x - 6) + 13x

Explanation:

Step1: Analyze Option A

Expand \(7(3x - 9)\) using the distributive property \(a(b - c)=ab - ac\). Here, \(a = 7\), \(b = 3x\), \(c = 9\). So, \(7\times3x-7\times9 = 21x - 63\).

Step2: Analyze Option B

Expand \(7(3x - 4)\) using the distributive property. \(7\times3x-7\times4 = 21x - 28\), which is not equal to \(21x - 63\).

Step3: Analyze Option C

Simplify \((8x - 6)+13x\) by combining like terms. \(8x+13x - 6=21x - 6\), which is not equal to \(21x - 63\).

Answer:

A. \(7(3x - 9)\)