i am so confused on this. can you please help me
Write three expressions equivalent to 3(x+y)+xy
3x + 3y +xy
I think that is one of them
Of course, I'd be happy to help you!
To write three expressions equivalent to 3(x+y)+xy, we need to determine the distributive property and combine like terms, if possible. Let's break it down step by step.
Step 1: Apply the distributive property
3(x+y) means multiplying 3 by both x and y. Using the distributive property, we get: 3 * x + 3 * y.
Step 2: Distribute 3 to x and y
3 * x is equal to 3x, and 3 * y is equal to 3y. So, after distributing 3 to x and y, we have: 3x + 3y + xy.
Now, let's write three equivalent expressions:
Expression 1: 3x + 3y + xy
This is the original expression we obtained after applying the distributive property.
Expression 2: x(3 + y) + 3y
Here, we used the commutative property and grouped the terms involving x together and the terms involving y together.
Expression 3: xy + 3(x + y)
In this expression, we distributed the 3 to the terms inside the parentheses and changed the order of the terms.
So, the three equivalent expressions to 3(x+y)+xy are: 3x + 3y + xy, x(3 + y) + 3y, and xy + 3(x + y).