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Question

Simplify the following using the identities :

5[(x4-34)(x4+34)]


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Solution

Step 1 : We need to identify the identity first, the question is in the form of (a-b)(a+b) which is equal to a2-b2

so if we compare the question with the identity we get a=x4andb=34

Step 2 : Applying the formula and solving

5[(x4-34)(x4+34)]=5[(x4)2-(34)2]=5[x8-916]=5x8-4516

Hence the solution is 5x8-4516


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