We want to rewrite the expression
[tex]5x+15[/tex]
According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually.
[tex]a\cdot(b+c)=a\cdot b+a\cdot c[/tex]
Therefore, we can rewrite our expression as
[tex]5x+15=5\cdot x+5\cdot3=5(x+3)[/tex]
For the second item, we have
[tex]14+13y-3-y[/tex]
Again, factorizing the common term, this expression can be rewritten as
[tex]\begin{gathered} 14+13y-3-y=11+13y-y \\ =11+y(13-1) \\ =11+12y \\ =12y+11 \end{gathered}[/tex]
and those are our answers.
[tex]\begin{gathered} 5x+15=5\cdot x+5\cdot3=5(x+3) \\ 14+13y-3-y=12y+11 \end{gathered}[/tex]
