(x-5)(x+6) Simplify

Jasonbradley

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Jun 17, 2024

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Simplifying the Expression (x - 5)(x + 6)

This expression represents the product of two binomials: (x - 5) and (x + 6). To simplify it, we can use the FOIL method:

First: Multiply the first terms of each binomial: x * x = x² Outer: Multiply the outer terms of the binomials: x * 6 = 6x Inner: Multiply the inner terms of the binomials: -5 * x = -5x Last: Multiply the last terms of each binomial: -5 * 6 = -30

Now, combine the results:

x² + 6x - 5x - 30

Finally, combine the like terms:

x² + x - 30

Therefore, the simplified form of (x - 5)(x + 6) is x² + x - 30.

This simplified form represents a quadratic expression, which can be further analyzed and used in various mathematical applications.