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Simplifying Algebraic Expressions: (2a-3b)(3b)/3cx
This article will guide you through the process of simplifying the algebraic expression (2a-3b)(3b)/3cx. We will break down each step to ensure a clear understanding.
Step 1: Expand the Numerator
The first step is to expand the numerator by distributing the terms. We have:
(2a-3b)(3b) = 6ab - 9b²
Step 2: Simplify the Expression
Now we can rewrite the entire expression as:
(6ab - 9b²)/3cx
Step 3: Factor Out Common Factors
Observe that both terms in the numerator have a common factor of 3b. Factoring this out, we get:
3b(2a - 3b) / 3cx
Step 4: Cancel Common Factors
Notice that 3 appears in both the numerator and denominator. Canceling these, we arrive at:
b(2a - 3b) / cx
Conclusion
Therefore, the simplified form of the expression (2a-3b)(3b)/3cx is b(2a - 3b) / cx.
Important Note: Remember that we cannot cancel out b or x as they are not common factors in both numerator and denominator.