How do you simplify $6pq(3p^2+4q)$ ?

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Answer 1 · 2017-04-22T20:48:23

$18p^3q+24pq^2$

Distribute $6pq$ to $3p^2$ and $4q$

$color(red)(6pq)*3p^2+color(red)(6pq)*4q$

note: when multiplying two of the same variables we ADD the exponents such that $x^a*x^b= x^(a+b)$

Thus,
$color(red)(6pq)*3p^2+color(red)(6pq)*4q -> 18p^3q+24pq^2$

How do you simplify 6pq(3p^2+4q)6pq(3p^2+4q)?