Question

Was the following simplified correctly

-2(-4x+5xy-12v) +x+xy-2v

8x-10xy+24v+x+xy-2v

9x-11xy+22v

a
yes

b
no

Answer 1

To simplify the expression \(-2(-4x + 5xy - 12v) + x + xy - 2v\), let's break it down step by step:

1. Distribute \(-2\) across \(-4x + 5xy - 12v\):
\[
-2(-4x) + -2(5xy) + -2(-12v) = 8x - 10xy + 24v
\]

2. Now add \(x + xy - 2v\) to the result:
\[
8x - 10xy + 24v + x + xy - 2v
\]

3. Combine like terms:
- For \(x\) terms: \(8x + x = 9x\)
- For \(xy\) terms: \(-10xy + xy = -9xy\)
- For \(v\) terms: \(24v - 2v = 22v\)

So, the final result is:
\[
9x - 9xy + 22v
\]

It seems the operations were simplified incorrectly in the original simplification where the coefficient of \(xy\) should be \(-9\) instead of \(-11\).

Thus, the correct answer is **b) no**.