Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 1

Question

masya89 [10]

3 years ago

11

Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 1

1 + 4(x + 2y + 4)?

Mathematics

1 answer:

Angelina_Jolie [31] · Answer 1 · 2022-01-29T21:17:03+03:00

First of all let's define Distributive Property. So, it is an algebra property which aims to multiply a single term or more terms to a set inside a parenthesis. In the case above,
the first thing to do is to multiply 4 to each term inside the parenthesis:

11+4(x+2y+4)
=11+4x+8y+16x

Then , you should combine like terms. Like terms have a whole number and the same variable in this case a whole number and x which is why:

=11+20x+8y

This is the final equivalent expression