Questions: Factor. 16 x y-6 x^2 16 x y-6 x^2= (Factor completely.)

Transcript text: Factor. \[ 16 x y-6 x^{2} \] $16 x y-6 x^{2}=$ $\square$ (Factor completely.)

Solution

Solution Steps

To factor the given expression $16xy - 6x^2$, we need to find the greatest common factor (GCF) of the terms and factor it out. The GCF of $16xy$ and $6x^2$ is $2x$. We then divide each term by $2x$ and write the expression as a product of the GCF and the resulting polynomial.

Step 1: Identify the Greatest Common Factor (GCF)

To factor the expression $16xy - 6x^2$, we first identify the greatest common factor (GCF) of the terms. The GCF of $16xy$ and $6x^2$ is $2x$.

Step 2: Factor Out the GCF

Next, we factor out the GCF $2x$ from each term in the expression: \[ 16xy - 6x^2 = 2x(8y) - 2x(3x) \]

Step 3: Simplify the Expression

We then simplify the expression inside the parentheses: \[ 2x(8y - 3x) \]