[tex]\left(5 x^{2}+6\right)-\left(6 x-5 x^{2}\right)=10 x^{2}-6 x+6[/tex]
Solution:
Given polynomial is [tex]\left(5 x^{2}+6\right)-\left(6 x-5 x^{2}\right)[/tex].
To subtract the given polynomials.
[tex]\left(5 x^{2}+6\right)-\left(6 x-5 x^{2}\right)[/tex]
In this polynomial – goes inside the two terms of 2nd polynomial.
[tex]=5 x^{2}+6\right-6 x-(-5 x^{2})[/tex]
Negative of negative is positive.
[tex]=5 x^{2}+6\right-6 x+5 x^{2}[/tex]
Arrange the like terms together.
[tex]=5 x^{2}+5 x^{2}+6\right-6 x[/tex]
[tex]=10 x^{2}+6\right-6 x[/tex]
Writing the terms from highest to lowest degree.
[tex]=10 x^{2}-6 x+6[/tex]
[tex]\left(5 x^{2}+6\right)-\left(6 x-5 x^{2}\right)=10 x^{2}-6 x+6[/tex].
The answer is not in the given option.
This is the correct answer.
