Expanding (x + 8)(x + 5)
This expression represents the product of two binomials. To find the answer, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last, which describes the order in which we multiply the terms of the binomials.
Here's how to expand (x + 8)(x + 5) using FOIL:
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First: Multiply the first terms of each binomial: x * x = x²
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Outer: Multiply the outer terms of the binomials: x * 5 = 5x
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Inner: Multiply the inner terms of the binomials: 8 * x = 8x
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Last: Multiply the last terms of each binomial: 8 * 5 = 40
Now, combine all the terms:
x² + 5x + 8x + 40
Finally, combine the like terms:
x² + 13x + 40
Therefore, the expanded form of (x + 8)(x + 5) is x² + 13x + 40.