Answer :
(3x^5 + 8x^3) - (7x^2 - 6x^3) = 3x^5 + 8x^3 - 7x^2 + 6x^3 = 3x^5 + 14x^3 - 7x^2
The expression [tex](3x^5 + 8x^3) - (7x^2 - 6x^3)[/tex] is equivalent to [tex]3x^5 + 14x^3 - 7x^2[/tex].
Given Expression:
[tex](3x^5 + 8x^3) - (7x^2 - 6x^3)[/tex]
To simplify the expression [tex](3x^5 + 8x^3) - (7x^2 - 6x^3)[/tex],distribute the negative sign to each term within the parentheses.
So, we can write the expression as
[tex]3x^5 + 8x^3 - 7x^2 + 6x^3.[/tex]
Next, combine like terms by adding or subtracting coefficients of the same degree.
In this case, the terms with the same degree are:
[tex]3x^5[/tex], [tex]8x^3[/tex], [tex]-7x^2[/tex], and [tex]6x^3[/tex].
Combining the like terms :
[tex]3x^5 + 8x^3 + 6x^3 - 7x^2.[/tex]
Finally, simplify by combining the coefficients:
[tex]3x^5 + (8x^3 + 6x^3) - 7x^2.[/tex]
Simplifying the coefficients, we have:
[tex]3x^5 + 14x^3 - 7x^2.[/tex]
Therefore, the expression is [tex]3x^5 + 14x^3 - 7x^2[/tex].
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