When we multiply two binomials, we can use the FOIL (First, Outer, Inner, Last) method to simplify the expression:
FOIL:
First: x * x = x^2
Outer: x * 3 = 3x
Inner: -8 * x = -8x
Last: -8 * 3 = -24
So, putting it all together, we get:
(x-8)(x+3) = x^2 + 3x – 8x – 24
Simplifying, we can combine like terms:
(x-8)(x+3) = x^2 – 5x – 24
Hence, the expression (x-8)(x+3) simplifies to x^2 – 5x – 24.
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