6g+8k-9g+2k

Simplifying the given expression:

First, we can add the like terms, i.e. 6g and -9g. These have the same variable (g) and hence can be combined as 6g - 9g = -3g.

Similarly, we can add the like terms 8k and 2k as they have the same variable (k), giving us 10k.

Therefore, 6g + 8k - 9g + 2k simplifies to:

(-3g) + (10k)

or

10k - 3g (in the preferred order of writing)

-4x+6x^2+5x

Arranging the terms in descending order of degree:

6x^2 - 4x + 5x

Now, adding the like terms, we get:

6x^2 + x

Therefore, the simplified form of the expression -4x + 6x^2 + 5x is:

6x^2 + x

a^2+5a-3a^2

Combining the like terms in the given expression:

a^2 + 5a - 3a^2

= (-2a^2) + 5a

= -2a^2 + 5a

Therefore, the simplified form of the expression a^2 + 5a - 3a^2 is:

-2a^2 + 5a

To simplify the expression 6g + 8k - 9g + 2k, we can combine the like terms together. Like terms are the terms that have the same variables raised to the same power.

So, let's group the terms with "g" together and the terms with "k" together:

(6g - 9g) + (8k + 2k)

Now, we can simplify each group and combine them:

-3g + 10k

Therefore, the simplified expression for 6g + 8k - 9g + 2k is -3g + 10k.