Simplify the Expression: 8x²/4x + 3x Step by Step

8x24x+3x= \frac{8x^2}{4x}+3x=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Let's break down the 8 into small factors
00:05 Let's convert the exponent into a multiplication exercise
00:11 Let's rewrite the fraction after the changes
00:20 We can use this form of writing to reduce the fraction
00:26 Let's write it again, after reduction
00:27 We're left with a simple addition exercise
00:30 And that's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

8x24x+3x= \frac{8x^2}{4x}+3x=

2

Step-by-step solution

Let's break down the fraction's numerator into an expression:

8x2=4×2×x×x 8x^2=4\times2\times x\times x

And now the expression will be:

4×2×x×x4x+3x= \frac{4\times2\times x\times x}{4x}+3x=

Let's reduce and get:

2x+3x=5x 2x+3x=5x

3

Final Answer

5x 5x

Practice Quiz

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Are the expressions the same or not?

\( 20x \)

\( 2\times10x \)

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