simplify the following expression x+4(y+8x) Write the property that justifies each step
x+4(y+8x)
x + 4y + 32x
4y + 33x
Ms. Sue did it exactly the way I was going to it- great job! Good luck Bryan!
To simplify the expression x + 4(y + 8x), let's follow the steps:
Step 1: Distribute the 4 into the parentheses.
x + 4y + 32x
The property used here is the Distributive Property, which states that when a number is multiplied by a sum in parentheses, it can be distributed or multiplied to each term inside the parentheses.
Step 2: Combine like terms.
x + 32x + 4y
The property used here is the Commutative Property of Addition, which states that the order of adding numbers does not affect the result.
Step 3: Simplify further if possible.
(1 + 32)x + 4y
33x + 4y
The property used here is the Associative Property of Multiplication, which states that the grouping of factors does not affect their product.
Therefore, the simplified expression is 33x + 4y.