Question

Which expression is equivalent to (10 + 70 - 1) + (-6r^2 - 18 + 5r)?

A. 25 + 8
B. 70 + 127 + 8
C. 128 - 8
D. 18 + 27 - 8

Answer 1

The expression (10 + 70 - 1) + (-6r^2 - 18 + 5r) is equivalent to -6r^2 + 5r + 61.

Step-by-step explanation:

The expression (10 + 70 - 1) + (-6r^2 - 18 + 5r) can be simplified by combining like terms. Adding the numbers inside the parentheses first, we get (80 - 1) + (-6r^2 - 18 + 5r). This simplifies further to 79 + (-6r^2 + 5r - 18). Finally, we can rearrange the terms to get the expression (-6r^2 + 5r + 79 - 18).

So, the equivalent expression is -6r^2 + 5r + 61.