Question

Pls answer the 8 th question pls

Answer 1

The simplified expression is:

`(-7)/(10)p^2q^2r+(1)/(2)pq^2r-(11)/(28)pqr^2+(1)/(8)p^2qr`

Explanation:

To find:

`-(1)/(2)p^(2) q^(2) r+(1)/(3)p q^(2) r-(1)/(4)p q r^(2)-(1)/(5)rq^(2) p^(2) +(1)/(6)rq^(2) p-(1)/(7)r^(2)pq+(1)/(8)rp^(2)q`

Solution:

We can see that pqr having power 1 is common throughout.

Let us take it common to make the expression simpler and then we will add by taking LCM:

`\Rightarrow pqr(-(1)/(2)p q+(1)/(3)q-(1)/(4)r-(1)/(5)pq+(1)/(6)q-(1)/(7)r+(1)/(8)p)\\\Rightarrow pqr(-(1)/(2)p q-(1)/(5)pq+(1)/(3)q+(1)/(6)q-(1)/(4)r-(1)/(7)r+(1)/(8)p)\\\Rightarrow pqr((-5pq-2pq)/(2* 5)+(2q+q)/(2 * 3)+(-7r-4r)/(7 * 4)+(1)/(8)p)\\\Rightarrow pqr((-7pq)/(10)+(3q)/(6)+(-11r)/(28)+(1)/(8)p)\\\Rightarrow pqr((-7)/(10)pq+(1)/(2)q+(-11)/(28)r+(1)/(8)p)`

Now, multiplying pqr again to the expression:

`\Rightarrow (-7)/(10)p^2q^2r+(1)/(2)pq^2r-(11)/(28)pqr^2+(1)/(8)p^2qr`

So, the answer is:

`(-7)/(10)p^2q^2r+(1)/(2)pq^2r-(11)/(28)pqr^2+(1)/(8)p^2qr`