(x+7)(x+5) Answer

Jasonbradley

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Jun 17, 2024

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Expanding (x+7)(x+5)

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

1. First: Multiply the first terms of each binomial: x * x = x²
2. Outer: Multiply the outer terms of the binomials: x * 5 = 5x
3. Inner: Multiply the inner terms of the binomials: 7 * x = 7x
4. Last: Multiply the last terms of each binomial: 7 * 5 = 35

Now, we combine all the terms:

x² + 5x + 7x + 35

Finally, simplify by combining the like terms:

x² + 12x + 35

Therefore, the expanded form of (x+7)(x+5) is x² + 12x + 35.

Other Methods

You can also use the distributive property to solve this problem. Here's how:

1. Distribute the first term of the first binomial to both terms in the second binomial: x(x+5) + 7(x+5)
2. Expand each multiplication: x² + 5x + 7x + 35
3. Combine the like terms: x² + 12x + 35

No matter which method you choose, the final answer will be the same.