simplify (9x^2-6x+)-(x^2+4x-39)

Question

whats the difference

Answer 1

To simplify the expression $(9x^2-6x)-(x^2+4x-39)$, we will first distribute the negative sign and then combine like terms.

1. Distributing the negative sign:

$$(9x^2-6x)-(x^2+4x-39)=9x^2-6x-x^2-4x+39$$

2. Combine the like terms:

• For the $x^2$ terms: $9x^2-x^2=8x^2$

• For the $x$ terms: $-6x-4x=-10x$

• The constant term is $+39$.

Putting it all together:

$$8x^2-10x+39$$

Therefore, the simplified expression is:

$$\boxed{{\displaystyle 8x^2-10x+39}}$$