Answer:
My example: 7(2 + 7) = 7(2) + 7(7)
Formula: x(y + x) = x*y + x*x
Step-by-step explanation:
The distributive property can be represented by the following equation:
x(y + x) = x*y + x*x
Since you are looking for any example, let's plug in a few numbers to the above equation.
Ex) x = 7, y = 2
The example equation with these values is 7(2 + 7)
<u>Solving With Distributive Property:</u>
x(y + x)
<em />
<em>Substitute</em>
<em />
7(2 + 7)
<em>Simplify using distributive property</em>
7(2) + 7(7)
14 + 49 = 63
<em />
<u>Solving using PEMDAS and solving inside the parenthesis first</u>
<u></u>
7(2 + 7)
7(9)
63
The above is an example of solving/siplifying equations with and without the Distributive Property.
Since these numbers are the same, we can conclude that the formula for the distributive property above is correct.
Again, you are looking for an example, so simply pick a value for x and y and substute into this equation: x(y + x) = x*y + x*x
I used 7 and 2 above, but any numbers will work as you are distributing the value outside the parenthesis.
Hope this helps! Let me know if you have any questions.
PEMDAS simpliy means that the solving of equations can be solved by going in the following order:
- Parenthesis (P)
- Exponents (E)
- Multiplication and Division left to right of the expression/equation (M/D)
- Addition and Subtraction (A/S)
This is just a helpful little refrence when applying the order of operations.
