Question

Se the simple command to multiply (x + 4)(x - 5)(x + 6)(x - 2).

Answer 1

To multiply the expression (x + 4)(x - 5)(x + 6)(x - 2), you can use the distributive property and multiply each term individually.

Step-by-step explanation:

To multiply the expression (x + 4)(x - 5)(x + 6)(x - 2), we can use the distributive property and multiply each term individually. Here are the steps:

1. First, multiply the terms in the first two parentheses: (x + 4)(x - 5) = x^2 - x - 20.
2. Next, multiply the result by the third term: (x^2 - x - 20)(x + 6) = x^3 + 5x^2 - 26x - 120.
3. Finally, multiply the entire expression by the fourth term: (x^3 + 5x^2 - 26x - 120)(x - 2) = x^4 + 3x^3 - 6x^2 - 52x - 240.

So, the simplified expression is x^4 + 3x^3 - 6x^2 - 52x - 240.