Question 1131329
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<pre>
(2m-3)^2 - (8m^2-4)^2.


     Use the general formula  {{{a^2}}} - {{{b^2}}} = (a+b)*(a-b), which is valid for any numbers "a" and "b".

     In this case,  a = (2m-3),  b = {{{(8m^2-4)}}},  so


     a + b = {{{(2m-3) + (8m^2-4)}}} = {{{8m^2 + 2m - 7}}}.

     a - b = {{{(2m-3) - (8m^2-4)}}} = {{{-8m^2 + 2m +1}}} = -(2m-1)*(4m+1).


Therefore,

(2m-3)^2 - (8m^2-4)^2 = {{{-(8m^2 + 2m - 7)*(2m-1)*(4m+1)}}}.      <U>ANSWER</U>
</pre>

Solved.


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<U>The key idea and the lesson to learn is THIS</U> :


<pre>
     Use the formula  {{{a^2}}} - {{{b^2}}} = (a+b)*(a-b).
</pre>

And there is nothing interesting after that - only the mechanical work.