(2a-3b)(3b)/3cx

2 min read Jun 16, 2024
(2a-3b)(3b)/3cx

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.

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