Question

Multiply (x−7)(x+5).

Answer 1

To multiply (x−7)(x+5), apply the distributive property (FOIL) to get x² + 5x - 7x - 35, simplify like terms to x² - 2x - 35.

Step-by-step explanation:

To multiply the expression (x−7)(x+5), we use the distributive property, which is often referred to as FOIL (First, Outer, Inner, Last) when dealing with binomials. This property allows us to multiply each term in the first parentheses by each term in the second.

1. Multiply the first terms: (First) x * x = x²
2. Multiply the outer terms: (Outer) x * 5 = 5x
3. Multiply the inner terms: (Inner) (-7) * x = -7x
4. Multiply the last terms: (Last) (-7) * 5 = -35

Next, combine the like terms 5x and -7x to simplify the expression.

The final expanded form of the expression is x² - 2x - 35.