Question

Expand $3p^5q^3\left( 2pq + \frac{5}{(pq)^2} \right)$. Thank you so much i really need it

Answer 1

Answer:  $6p^6q^4 + 15p^3q$

On a keyboard you would type 6p^6q^4 + 15p^3q

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Work Shown:

$3p^5q^3\left( 2pq + \frac{5}{(pq)^2} \right)\\\\\\3p^5q^3\left( 2pq \right) + 3p^5q^3\left(\frac{5}{(pq)^2} \right)\\\\\\6p^6q^4 + \frac{15p^5q^3}{ p^2q^2 } \right)\\\\\\6p^6q^4 + 15p^3q$

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Explanation:

• Step 2 used the distributive property.
• Step 3 used the idea that a^b*a^c = a^(b+c), and also (ab)^c = a^c*b^c
• Step 4 used the idea that (a^b)/(a^c) = a^(b-c)

Answer 2

Answer:

6p^6q^4+15p^3q

Step-by-step explanation:

We use the distributive property.