(x+3)(x+7) Solve

Jasonbradley

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Jun 16, 2024

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Solving (x + 3)(x + 7)

This expression represents the multiplication of two binomials. To solve it, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last, which describes the order in which we multiply the terms:

1. First: Multiply the first terms of each binomial: x * x = x²
2. Outer: Multiply the outer terms of each binomial: x * 7 = 7x
3. Inner: Multiply the inner terms of each binomial: 3 * x = 3x
4. Last: Multiply the last terms of each binomial: 3 * 7 = 21

Now, combine the terms:

x² + 7x + 3x + 21

Finally, simplify by combining like terms:

x² + 10x + 21

Therefore, the solution for (x + 3)(x + 7) is x² + 10x + 21.