Question

Rewrite in simplest terms: minus, 4, left parenthesis, 10, b, minus, 10, c, right parenthesis, plus, 9, c, minus, 10, left parenthesis, minus, 4, c, plus, 3, b, right parenthesis−4(10b−10c)+9c−10(−4c+3b)

Answer 1

Let's simplify the expression step by step.

1. **Distribute the constants:**
- \( -4(10b - 10c) = -40b + 40c \)
- \( -10(-4c + 3b) = 40c - 30b \)

So the expression becomes:
\[
-40b + 40c + 9c + 40c - 30b
\]

2. **Combine like terms:**
- Combine the \( b \) terms: \( -40b - 30b = -70b \)
- Combine the \( c \) terms: \( 40c + 9c + 40c = 89c \)

Putting it all together, we have:
\[
-70b + 89c
\]

Thus, the expression simplified to its simplest form is:
\[
-70b + 89c
\]