Christensen Reyes
08/24/2024 · Senior High School
Question 6 Simplify \( 2 c(a-3 b)-3 c(a-3 b) \) by expanding the brackets and combining like terms. ( 3 marks)
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Tutor-Verified Answer
Step-by-step Solution
Expand the expression \( 2c(a-3b)-3c(a-3b) \)
Simplify the expression by following steps:
- step0: Subtract the terms:
\(2c\left(a-3b\right)-3c\left(a-3b\right)\)
- step1: Expand the expression:
\(2ac-6bc-3c\left(a-3b\right)\)
- step2: Expand the expression:
\(2ac-6bc-3ac+9bc\)
- step3: Subtract the terms:
\(-ac+3bc\)
Expanding the brackets and combining like terms, we get \( -ac + 3bc \).
Quick Answer
\( -ac + 3bc \)
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