(x – 6)(x + 2)
x² – 4x – 12
When we have an expression of the form (a+b)(c+d), we can distribute it using the FOIL method, which stands for First, Outer, Inner, Last. We multiply the First terms together, then the Outer terms (the first and last), then the Inner terms (the second and third), and finally the Last terms.
Applying this to the expression (x-6)(x+2), we have:
First: x * x = x^2
Outer: x * 2 = 2x
Inner: -6 * x = -6x
Last: -6 * 2 = -12
Combining everything, the final result is:
x^2 + 2x – 6x – 12 = x^2 – 4x – 12
Therefore, (x-6)(x+2) simplifies to x^2 – 4x – 12.
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