Simplify (9x2−6x+2)−(x2+4x−39)

Question

.(1 point)
The difference of the polynomials is
.
Remaining Attempts : 3

Answer 1

To simplify the expression $(9x^2-6x+2)-(x^2+4x-39)$, we need to distribute the negative sign across the second polynomial and then combine like terms. Here’s the step-by-step solution:

1. Rewrite the expression: $$9x^2-6x+2-(x^2+4x-39)$$

2. Distribute the negative sign: $$9x^2-6x+2-x^2-4x+39$$

3. Combine like terms:

   • For the $x^2$ terms: $$9x^2-x^2=8x^2$$
   • For the $x$ terms: $$-6x-4x=-10x$$
   • For the constant terms: $$2+39=41$$

4. Putting it all together, we get: $$8x^2-10x+41$$

So, the simplified expression is: $$\boxed{{\displaystyle 8x^2-10x+41}}$$