Simplify the Rational Expression: (18x²-9x)/(2x-1)

Simplify the following expression:

18x29x2x1 \frac{18x^2-9x}{2x-1}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Simply
00:03 Let's break down 18 into factors 9 and 2
00:06 Let's break down the power into multiplications
00:18 Let's mark the common factors
00:32 Let's take out the common factors from the parentheses
00:47 Let's reduce what we can
00:55 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Simplify the following expression:

18x29x2x1 \frac{18x^2-9x}{2x-1}

2

Step-by-step solution

Let's simplify the given expression:

18x29x2x1 \frac{18x^2-9x}{2x-1} Remember that we can reduce complete expressions only when both the numerator and denominator are completely factored into multiplication expressions,

For this, we'll use factorization, identify that in the numerator we can factor out a common term, do this, then reduce the expressions possible in the resulting fraction:

18x29x2x118x(2x1)2x118x \frac{18x^2-9x}{2x-1} \\ \frac{18x(2x-1)}{2x-1} \\ \downarrow\\ \boxed{18x} Therefore, the correct answer is answer B.

3

Final Answer

9x 9x

Practice Quiz

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Determine if the simplification below is correct:

\( \frac{4\cdot8}{4}=\frac{1}{8} \)

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