the following steps are used to rewrite (x+4y+z)(x-7y)
step 1: x(x-7y)+4y(x-7y)+z(x-7y)
step 2: x^2-7xy+4yx-28y^2+zx-7zy
step 3: x^2-7xy+4xy-28^y+xz-7yz
identify the property used in each step
Step 1: Distribution property
Step 2: Combining like terms
Step 3: Rearranging terms
what property was step 2 and 3
In step 2, the property used is the commutative property of addition, where the terms "4yx" and "zx" are rearranged to "xy4" and "xz" respectively.
In step 3, the property used is the associative property of addition, where the terms "4xy" and "-28y" are combined as "4xy-28y".