hello!
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The Distributive Property states the following:-
[tex]\longrightarrow\sf{a(b+c)=ab+ac[/tex]
Where
[tex]\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}[/tex]
Now, let's use this property to simplify our expressions.
The first one is
[tex]\bigstar{\underline{\boxed{{4(x+2)}}}[/tex]
Simplify by distributing 4:-
[tex]\longrightarrow\sf{4~times~x~+4~times~2}[/tex]
Add the products:-
[tex]\longrightarrow\sf{4x+8}[/tex]
[tex]\rule{250}{2}[/tex]
Solve the next one:-
[tex]\bigstar{\underline{\boxed{\sf{-5(9+x)}}}[/tex]
Distribute -5 & add the products:-
[tex]\longrightarrow\sf{-45-5x}[/tex]
[tex]\rule{250}{2}[/tex]
Solve the last one:-
[tex]\bigstar{\underline{\boxed{7(x-3)}}[/tex]
Distribute 7:-
[tex]\longrightarrow\sf{7x-21}[/tex]
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note:-
Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
