The distributive property of multiplications states allows you to multiply each term on the parentheses term by the constant outside the parentheses, for example:
[tex]a(b+c)=ab+ac[/tex]To solve
[tex]4(2x+3)[/tex]You have to multiply each term on the parentheses by 4, that is, multiply 2x by 4 and 3 by 4
[tex]\begin{gathered} 4\cdot2x+4\cdot3 \\ 8x+12 \end{gathered}[/tex]And you get that the equivalent expression is 8x+12
To solve
[tex]6(x+y+z)[/tex]You have to multiply the three terms inside the parentheses by 6, so that
[tex]6\cdot x+6\cdot y+6\cdot z=6x+6y+6z[/tex]The equivalent expression is 6x+6y+6z