Answer:
The simplified form of the provided expression is: [tex]8p+16q+24[/tex]
Step-by-step explanation:
Consider the provided expression.
[tex]4(2p+4q+6)[/tex]
Distributive property:
[tex]a(b+c)=ab+ac[/tex]
Now use the distributive property to simplify the provided expression.
Distribute 4 inside the parentheses.
[tex]4\times 2p+4\times 4q+4\times 6[/tex]
[tex]8p+16q+24[/tex]
Hence, the simplified form of the provided expression is: [tex]8p+16q+24[/tex]