Question

Part A

Explain the steps you would take to simplify this expression using the order of operations.
(4x2 + 8x + 15) + (x²-x-27) (x + 5)(x-7)

Answer 1

To simplify the expression, follow the order of operations and simplify the expressions inside parentheses, multiply the binomials, and combine like terms and perform any remaining operations.

Step-by-step explanation:

To simplify the expression using the order of operations, we follow the acronym PEMDAS which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). In this expression, we start by simplifying the expressions inside the parentheses:

1. (4x^2 + 8x + 15) + (x^2 - x - 27)
2. Next, we multiply the two binomials:
3. (x + 5)(x - 7)
4. To finish simplifying, we combine like terms and perform any remaining operations.

By following these steps, we can simplify the expression.

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