Properties of operations can be used to find an
expression that is equivalent to a given expression.
- Distributive Property
- The product of a number and a sum is equal to the sum of the number multiplied by each addend.
- Like Terms
- Terms that have the same variables.
First, distribute the 5.
5(10x - 16 + x) + 19 = 50x - 80 + 5x + 19
Then, combine like terms.
50x - 80 + 5x + 19 | = | (50x + 5x) + (-80 + 19) |
| = | 55x + (-61) |
| = | 55x - 61 |
So, 55x - 61 is equivalent to 5(10x - 16 + x) + 19.
Distribute the 3
r.
3r(s - 7 + 8t) = 3rs - 21r + 24rt
There are no like terms in this expression.
So, 3rs - 21r + 24rt is equivalent to 3r(s - 7 + 8t).