Question

The expression 3(x-9) is equivalent to

Answer 1

The expression 3(x-9) simplifies to 3x - 27 using the distributive property, which involves multiplying the outside number by each term within the parentheses and combining the results.

Step-by-step explanation:

The expression 3(x-9) is an example of the distributive property in algebra, where a number is multiplied by each term inside the parentheses. To simplify this expression, you would distribute the 3 to both the x and the -9. Here is the step-by-step breakdown:

1. Multiply 3 by x to get 3x.
2. Multiply 3 by -9 to get -27.
3. Combine the two results to get the simplified expression: 3x - 27.

This demonstrates the rule: xpxq = x(p+q), but applied to algebra where x represents any variable or number.