How do you simplify $6(2p+1)$ ?

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Answer 1 · 2016-04-22T11:57:56

$=6xx2p+6xx1=12p+6$

Answer 2 · 2016-04-22T12:03:45

$12p+6$

Given: $" "6(2p+1)$

$color(blue)("Using first principles")$

This is the same as $6xx(2p+1)$

So you have 6 lots of $(2p+1)$

Which means you have:

6 lots of $2p$ and 6 lots of $(+1)$ which gives

$2p+2p+2p+2p+2p+2p + 6$

This is the same as: $12p+6$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$color(blue)("Shortcut method")$

Multiply everything inside the brackets by 6 giving

$12p+6$

How do you simplify 6(2p+1)6(2p+1)?