Question

Write the equivalent expression to (52 – 3r"") – (5x – 2) (10x + 7x"") in standard form.

Answer 1

The equivalent expression to (52 – 3r) – (5x – 2)(10x + 7x) in standard form is – 85x^2 + 34x + 52 – 3r after distributing, multiplying, combining like terms, and simplifying the expression.

Step-by-step explanation:

To write the equivalent expression to (52 – 3r) – (5x – 2)(10x + 7x) in standard form, we need to simplify and combine like terms. Here's the step-by-step breakdown:

1. First, distribute the -1 through the second set of parentheses to remove it: (52 – 3r) - 1*(5x – 2)(10x + 7x).
2. Next, multiply out the terms in the second set of parentheses: (5x – 2)(10x) + (5x – 2)(7x), which simplifies down to 50x^2 + 35x^2 - 20x - 14x.
3. Combine like terms in the multiplication result: 85x^2 - 34x.
4. Last, combine this with the remaining terms from the first set of parentheses to get the final standard form: (52 – 3r) – (85x^2 - 34x) which simplifies to –52 – 3r – 85x^2 + 34x.

The final expression in standard form is – 85x^2 + 34x + 52 – 3r.