Question

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

Answer 1

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

Step-by-step explanation:

We use the distributive property.

Answer 2

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 + (5)/((pq)^2) \right)\\\\\\3p^5q^3\left( 2pq \right) + 3p^5q^3\left((5)/((pq)^2) \right)\\\\\\6p^6q^4 + (15p^5q^3)/( p^2q^2 ) \right)\\\\\\6p^6q^4 + 15p^3q\\\\`

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Step-by-step 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)