Show by parentheses that the sum of x and y is to be subtracted from four times the sum of a and b.

To show that the sum of \( x \) and \( y \) is to be subtracted from four times the sum of \( a \) and \( b \), we can express this algebraically with parentheses to clarify the operations.

The expression can be written as:

\[
4(a + b) - (x + y)
\]

Explanation:
- \( (a + b) \) is the sum of \( a \) and \( b \), which is multiplied by 4.
- \( (x + y) \) is the sum of \( x \) and \( y \), which is then subtracted from \( 4(a + b) \).

Would you like further clarification on this or any additional details?

Here are 5 related questions:
1. How do you distribute the 4 in the expression \( 4(a + b) \)?
2. What happens if you change the subtraction to addition in the original problem?
3. How would the expression look if you divided the sum of \( x \) and \( y \) by the sum of \( a \) and \( b \)?
4. What is the result if \( x = 2 \), \( y = 3 \), \( a = 1 \), and \( b = 4 \)?
5. Can you factor the expression \( 4(a + b) - (x + y) \) further?

**Tip:** Parentheses are crucial in algebra to ensure operations are performed in the correct order. Always use them to group terms carefully!

Learn how to use parentheses to show that the sum of x and y is subtracted from four times the sum of a and b. This problem covers important algebraic concepts such as operations with parentheses and the order of operations, suitable for students in Grades 6-8.

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