I Need help. Can you teach me how to be able to Expand simplify
$\displaystyle -(k+6)-(2+h)+(8+4k)$
First, distribute each +/- sign into the parenthesis...
$\displaystyle -k-6-2-h+8+4k$
Order by variables (a + 2a - 3b + 4b + c + 2...)
$\displaystyle -h+4k - k + 6-2+8$
Add like variables, (e.g. 4a + 2a - 3a = 3a)
$\displaystyle 3k-h+12$
Well, in order to expand and simplify, you have to remember your properties. The property you would use in those instances would be the distributive property.
Let's start with the first example...
$\displaystyle 4(2y-3)$
First distribute the 4. That means to multiply the 4 by 2y and then by -3.
$\displaystyle 4*2y-4*3$
Now let's simplify.
$\displaystyle 8y- 12$
-----------------------
Now for the second example. This time we're going to break up the problem.
$\displaystyle -3(2y-2)+4(2y-1)$
Let's start off with $\displaystyle -3(2y-2)$.
First distribute the -3. That means to multiply the -3 by 2y and then by -2.
$\displaystyle -3*2y-3*-2$
This adds up to $\displaystyle -6y+6$.
Now let's move onto $\displaystyle 4(2y-1)$.
First distribute the 4.
$\displaystyle 4*2y -4*1$
This adds up to $\displaystyle 8y-4$.
Now let's add both together, shall we?
$\displaystyle -6y+6+8y-4$
This equals
$\displaystyle 2y+2$