Question

Expand the following (2p-q/5-3)(2p+q/5+3

Answer 1

Given: The expression (2p-q/5-3)(2p+q/5+3)

To find: Expand (2p-q/5-3)(2p+q/5+3)

Solution:

• Now we have given the (2p-q/5-3)(2p+q/5+3).

• Now we know the identity:

                  (a-b)(a+b) = a^2 - b^2

• So applying the identity, we get:

                  (2p-q/5-3)(2p+q/5+3) = ((2p)^2 - (q)^2 ) /(5)^2 - (3)^2

                  (2p-q/5-3)(2p+q/5+3) = (4p^2 - q^2) / 25 - 9

                  (2p-q/5-3)(2p+q/5+3) = (4p^2 - q^2) / 16

                  (2p-q/5-3)(2p+q/5+3) = (4p^2 - q^2) / 16

                  (2p-q/5-3)(2p+q/5+3) = 4p^2/16  -  q^2/16

Answer:

               So the expanded form is 4p^2/16  -  q^2/16

Answer 2

Step-by-step explanation:

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