in algerbra, how do i combine like terms?

Question

9z sq +19z sq +13z +11z +18 - 2 +3

Answer 1

So you want to combine the like terms of

9z^2 + 19z^2 + 13z + 11z + 18 - 2 + 3

Combining like terms just means adding together the coefficients when terms have something in common.

This "something" is the variable in front of the number. That is, if we have 9x + 3x, we can add them to 12x. However, if we have something like 2x^2 + 8x, we can't add them together.

In this particular case,

9z^2 + 19z^2 + 13z + 11z + 18 - 2 + 3

We first combine the terms with a z^2 in them.

28z^2 + 13z + 11z + 18 - 2 + 3

Now, we combine the terms with a z in them.

28z^2 + 24z + 18 - 2 + 3

Now, we can combine the numbers, which is basic addition and subtraction.

28z^2 + 24z + 19

Notice how we went from something that had 7 terms, and condensed it nicely into three terms. That's the point of combining like terms; simplification. And you'll be given questions where they ask you to simplify, which means to combine like terms.

Answer 2

Add the same varibles first,so the answer is 28z sq+24z+19.

Answer 3

First you identify them

then you group them together

(9+19)zsq + (13+11)z + (18+3 -2)

then you simplify the bracketed bits.

Answer 4

like terms are the same variable to the same power, just combine them like normal numbers
28z sq+24z+19

Answer 5

anything that has the same variable, or is just plain you add together