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)
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)
Solution
First, distribute the -4 into the first parenthesis and -10 into the second parenthesis:
-4 * 10b = -40b -4 * -10c = 40c -10 * -4c = 40c -10 * 3b = -30b
So, the expression becomes: -40b + 40c + 9c - 40c + 30b
Next, combine like terms:
-40b + 30b = -10b 40c + 9c - 40c = 9c
So, the simplified expression is: -10b + 9c
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