Expand the Binomial Expression: (x-6)(x+2) Step by Step

To solve this problem, we need to multiply the binomials $(x-6)$ and $(x+2)$ using the distributive property (FOIL method):

• First: Multiply the first terms: $x \cdot x = x^2$
• Outer: Multiply the outer terms: $x \cdot 2 = 2x$
• Inner: Multiply the inner terms: $-6 \cdot x = -6x$
• Last: Multiply the last terms: $-6 \cdot 2 = -12$

Now, we have the terms: $x^2$, $2x$, $-6x$, and $-12$.
We combine the linear terms:

$x^2 + 2x - 6x - 12 = x^2 - 4x - 12$

This is the expanded form of the quadratic expression in standard form.
Therefore, the solution to the problem is $x^2 - 4x - 12$.