Question

Which expression is equivalent to 8(k + m) − 15(2k + 5m)?

Answer 1

The expression should be (8k+8m)-(30k+75m).

Answer 2

The answer is
`-22k-67m`

Explanation:

In order to determine the answer, we have to know about adding similar terms. A term consists basically in a variable and its coefficient. In an expression, we can find differents terms, where every term has a different variable.

If there are similar terms, it means, the same variable, we can add them.

Firstly, we multiply the factors with the parentheses and then we add similar terms:

`8(k+m)-15(2k+5m)\\8k+8m-30k-75m\\(8k-30k)+(8m-75m)\\-22k-67m`

We can see two terms (k and m variables).

Finally the equivalent expression is
`-22k-67m`