Answer:
The simplified form of the given polynomial equation is:
[tex]-2x^2-x+7[/tex]
Step-by-step explanation:
We are asked to simplify the given polynomial expression in terms of the variable x.
The algebraic expression is given as:
[tex](-9x^2+2x+13)-(-7x^2+3x+6)[/tex]
On taking out the terms from both the brackets the sign of the terms of the second bracket gets interchanged as there is a negative sign preceding it.
Hence, we get the expression as:
[tex]=-9x^2+2x+13+7x^2-3x-6\\[/tex]
Now on combining the like terms we get:
[tex]=-9x^2+7x^2+2x-3x+13-6\\\\\\=-2x^2-x+7[/tex]
