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(x+4)(x+7) Simplify

less than a minute read Jun 16, 2024
(x+4)(x+7) Simplify

Simplifying (x+4)(x+7)

This expression represents the multiplication of two binomials, (x+4) and (x+7). To simplify it, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last, which represents the order in which we multiply the terms of the binomials.

Here's how to apply the FOIL method:

1. First: Multiply the first terms of each binomial.

  • (x) * (x) = x²

2. Outer: Multiply the outer terms of the binomials.

  • (x) * (7) = 7x

3. Inner: Multiply the inner terms of the binomials.

  • (4) * (x) = 4x

4. Last: Multiply the last terms of each binomial.

  • (4) * (7) = 28

Now, we have: x² + 7x + 4x + 28

5. Combine like terms: The terms with 'x' can be added together.

  • x² + (7x + 4x) + 28

6. Simplified expression:

  • x² + 11x + 28

Therefore, the simplified form of (x+4)(x+7) is x² + 11x + 28.

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