Respuesta :
first distribute -(x-8)(x+1) becomes (-x+8)(x+1)
then multiply it, which becomes -x²-x+8x+8, which we can simplify to:
-x²+7x+8
Place that back into the original equation:
9x-x²+7x+8+10x
Simplify further, by adding/subtracting all your x values, leaving:
26x-x²+8 or -x²+26x+8
then multiply it, which becomes -x²-x+8x+8, which we can simplify to:
-x²+7x+8
Place that back into the original equation:
9x-x²+7x+8+10x
Simplify further, by adding/subtracting all your x values, leaving:
26x-x²+8 or -x²+26x+8
The expression equivalent to 9x – (x – 8)(x + 1) + 10x is [tex]-x^{2} + 26x + 8[/tex]
Equivalent expression of polynomials -
An equivalent expression for any given polynomial form represents to solve the given expression to the most simple form of any quadratic or single variable dependent polynomial.
How to solve the given polynomial expression as given in the problem ?
Given expression = 9x - (x - 8)(x + 1) + 10x
Solving the given expression,
= [tex]9x - x^{2} - x + 8x + 8 + 10x[/tex]
Grouping the similar terms,
= [tex]-x^{2} + (9x + 10x + 8x -x) + 8[/tex]
= [tex]-x^{2} + 26x + 8[/tex]
Therefore the equivalent expression is - [tex]-x^{2} + 26x + 8[/tex]
To learn more about polynomial expression, refer -
https://brainly.com/question/5366408
#SPJ2
