Question

simplify the given algebraic rational expression​

Answer 1

I think it will help you

Answer 2

Answer:

3(p-q)/2(p+q)(p-q)

Step-by-step explanation:

Step 1)

Factor out the common term 3.

3(p-q)/4p * 2p/(p^2-q^2)

Step2)

Use Difference of Squares: a^2-b^2=(a+b)(a-b)

3(p-q)/4p * 2p/(p+q)(p-q)

Step 3)

Cancel p.

3(p-q)/4  * 2/(p+q)(p-q)

Step 4)

use the rule:  a/b * b/c =ac/bd

3(p-q) * 2/4(p+q)(p-q)

Step5)

Simplify: 3(p−q)*2  to  6(p-q)

6(p-q)/4(p+q)(p-q)

Final answer is 3(p-q)/2(p+q)(p-q)