Question

error analysis your friend incorrectly factors the expression below as 7x(3 - friend make?
21x - 14xy

factor the expression.
21x - 14xy = \square (factor completely.)

Explanation:

Step1: Find the GCF of coefficients and variables

The GCF of 21 and 14 is 7. For the variables, the GCF of \(x\) (from \(21x\)) and \(x\) (from \(14xy\)) is \(x\). So the GCF of \(21x\) and \(14xy\) is \(7x\).

Step2: Divide each term by the GCF

Divide \(21x\) by \(7x\): \(\frac{21x}{7x} = 3\). Divide \(-14xy\) by \(7x\): \(\frac{-14xy}{7x} = -2y\).

Step3: Write the factored form

Using the distributive property (reverse), \(21x - 14xy = 7x(3 - 2y)\).

Answer:

\(7x(3 - 2y)\)