Answer :

Sure! Let's simplify the given expression step by step.

We start with the expression:
[tex]\[
\left(7x^6 - 2x^2 + 3x\right) - \left(8x^2 + 5x^6 - 4x\right)
\][/tex]

First, distribute the negative sign through the second set of parentheses:
[tex]\[
7x^6 - 2x^2 + 3x - 8x^2 - 5x^6 + 4x
\][/tex]

Next, combine like terms by grouping the terms with the same powers of [tex]\(x\)[/tex]:

1. Combine the [tex]\(x^6\)[/tex] terms:
[tex]\[
7x^6 - 5x^6 = 2x^6
\][/tex]

2. Combine the [tex]\(x^2\)[/tex] terms:
[tex]\[
-2x^2 - 8x^2 = -10x^2
\][/tex]

3. Combine the [tex]\(x\)[/tex] terms:
[tex]\[
3x + 4x = 7x
\][/tex]

Now, putting it all together, we get:
[tex]\[
2x^6 - 10x^2 + 7x
\][/tex]

So, the simplified expression is:
[tex]\[
x \cdot (2x^5 - 10x + 7)
\][/tex]

Therefore, the simplified form of the given expression is:
[tex]\[
x \cdot (2x^5 - 10x + 7)
\][/tex]

Thanks for taking the time to read Simplify each expression 1 tex left 7x 6 2x 2 3x right left 8x 2 5x 6 4x right tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada