Simplify the following expression:
2(4y + 5z) - 10z
Let's see you try it first. If you don't understand these concepts, you need a private tutor.
(1) Multiply terms inside parentheses by the outside factor (2).
(2) Combine "like" terms. (In this case, there will be two terms that end withy z)
(3) You will note that two "z" terms are equal and opposite in sign. So the "z" terms disappear.
2(4y+5z)-10z
=8y+10z-10z
=8y Answer
+10z and -10z cancel out as they are opp signs
To simplify the expression 2(4y + 5z) - 10z, we can start by distributing the 2 to the terms inside the parentheses:
2 * 4y + 2 * 5z - 10z
This gives us:
8y + 10z - 10z
Next, we can combine like terms. In this case, we have 10z and -10z, which cancel each other out:
8y + 0
Since anything plus 0 is equal to itself, the expression simplifies to:
8y