Question

For each expression, use the distributive property to write an equivalent expression.4(2x + 3) =6(x + y + z) =

Answer 1

The distributive property of multiplications states allows you to multiply each term on the parentheses term by the constant outside the parentheses, for example:

`a(b+c)=ab+ac`

To solve

`4(2x+3)`

You have to multiply each term on the parentheses by 4, that is, multiply 2x by 4 and 3 by 4

`\begin{gathered} 4\cdot2x+4\cdot3 \\ 8x+12 \end{gathered}`

And you get that the equivalent expression is 8x+12

To solve

`6(x+y+z)`

You have to multiply the three terms inside the parentheses by 6, so that

`6\cdot x+6\cdot y+6\cdot z=6x+6y+6z`

The equivalent expression is 6x+6y+6z