Question

Question #6d036

Answer 1

a) `5x+12`

Explanation:

Expanding is the opposite of factoring. When you have a number in front of parentheses, it means that number (called factor) is multiplying each number inside the parentheses. Therefore, for letter a, we have:

`3(x+2)+2(x+3) = (3*1x)+(3*2)+(2*1x)+(2*3)`.

Solving these multiplications, the output is:

`3x+6+2x+6`.

The next part is simplifying the operation. We can sum and subtract like thers, that is, sum numbers without letters with other numbers without letters, and numbers with x with other numbers with x. I have rewritten the order to make the visualization easier:

`3x+2x+6+6=5x+12`

Now try doing the next exercises and watch out for the signs. The calculation for `x`,`n`, `t` and `w` is the same, just don't mix the letters.