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Question

Using the identities, simplify the following :

4(23p-34q)2


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Solution

Step 1: Identification of identity

First we need to identify the identity we can use,

Here we need to find the square, so we can use (a-b)2=a2-2ab+b2

Now if we compare the question with the identity we get a=23p,b=34q

Step 2: Applying the formula

4(23p-34q)2=4[(23p)2-2(23p)(34q)+(34q)2]=4[49p2-pq+916q2]=169p2-4pq+94q2

Hence, the square of 4(23p-34q)2 is 169p2-4pq+94q2.


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