The simplification of the given expression would be ( p - q)(2)(p - q )(2) = 4 p² - 8 p q + 4 q².
What is simplification of an expression?
Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We have been given an expression as;
( p - q ) (2) ( p - q ) (2)
Here all the parenthesis are in multiplication.
First we will multiply the constant 2 with the terms inside the parenthesis ( p - q) ,
we get,
( 2p - 2 q) ( p - q) (2)
= ( 2p - 2q ) ( 2p - 2q)
Now we need to multiply the two parenthesis together using FOIL method.
( 2p - 2q ) ( 2 p - 2q )
= 2 p ( 2 p - 2 q ) - 2q ( 2p - 2q )
= 2p * 2p - 2p * 2q - 2q * 2p + 2q * 2q
= 4p² - 4 p q - 4 p q + 4 q²
Now Combining like terms , we get
4p² - 8 pq + 4q²
Therefore, the simplification of the given expression would be ( p - q)(2)(p - q )(2) = 4 p² - 8 p q + 4 q².
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