(x+3)(x+8) Answer

Jasonbradley

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Jun 16, 2024

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Expanding (x+3)(x+8)

This expression represents the product of two binomials. To find the answer, we can use the FOIL method (First, Outer, Inner, Last):

1. First: Multiply the first terms of each binomial: x * x = x²
2. Outer: Multiply the outer terms: x * 8 = 8x
3. Inner: Multiply the inner terms: 3 * x = 3x
4. Last: Multiply the last terms: 3 * 8 = 24

Now, combine the terms: x² + 8x + 3x + 24

Finally, simplify by combining like terms:

x² + 11x + 24

Therefore, the answer to (x+3)(x+8) is x² + 11x + 24.

Other Methods

Besides FOIL, you can also use the distributive property to expand the expression.

1. Distribute the first term of the first binomial to both terms of the second binomial: x(x + 8) = x² + 8x
2. Distribute the second term of the first binomial to both terms of the second binomial: 3(x + 8) = 3x + 24
3. Combine the results: x² + 8x + 3x + 24

As you can see, we arrive at the same answer as before: x² + 11x + 24.

Understanding the Result

The expression x² + 11x + 24 represents a quadratic equation. This equation can be used to model various real-world scenarios, such as the path of a projectile or the profit of a business. By understanding how to expand binomials, you can better understand and work with quadratic equations in various applications.