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Question

Using the identities, simplify the following :

(3x-14x)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=3x,b=14x

Step 2: Applying the formula

(3x-14x)2=(3x)2-2(3x)(14x)+(14x)2]=9x2-32+116x2

Hence, the square of (3x-14x)2 is 9x2-32+116x2.


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