Question

Which expression is equivalent to (5rt − 3rw − 8tw) + (6rt − 4rw + 2tw)?

Answer 1

To find the equivalent expression for the given polynomials (5rt - 3rw - 8tw) and (6rt - 4rw + 2tw), you combine like terms to get 11rt - 7rw - 6tw.

Step-by-step explanation:

The student has asked for an expression equivalent to adding two polynomial expressions, which is a common task in algebra. The given expressions are (5rt - 3rw - 8tw) and (6rt - 4rw + 2tw).

To find the equivalent expression, we combine like terms, which means adding or subtracting the coefficients (numbers in front of the variables) of the terms that have the same variable parts.

Here's a step-by-step breakdown:

• Combine the terms with rt: (5rt + 6rt) = 11rt.
• Combine the terms with rw: (-3rw - 4rw) = -7rw.
• Combine the terms with tw: (-8tw + 2tw) = -6tw.

Therefore, the equivalent expression after combining like terms is 11rt - 7rw - 6tw.