Question

Simplify 15(15x−30)−x+4 .

Answer 1

To simplify the expression 15(15x - 30) - x + 4, distribute 15 to both terms inside the parentheses, combine like terms, and simplify further to get 224x - 446.

Step-by-step explanation:

To simplify the expression 15(15x - 30) - x + 4, we can follow the order of operations (PEMDAS). Here are the step-by-step instructions:

1. Simplify the expression within the parentheses: 15x - 30.
2. Multiply 15 by the simplified expression: 15 * (15x - 30).
3. Distribute the 15 to both terms within the parentheses: 15 * 15x - 15 * 30.
4. Simplify the resulting expression: 225x - 450.
5. Combine like terms: 225x - 450 - x + 4.
6. Combine x and -x: 225x - x - 450 + 4.
7. Simplify further: 224x - 446.

Therefore, the simplified expression is 224x - 446.