Write a program that generates all of possible combinations

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Question: Write a program that generates all of the possible combinations of multiplying two binomials together of the form (ax+b)(cx+d) where a,b,c, and d are integers that range from 1 to 9. Ensure that your program does not output perfect squares e.g. (2x+3) (2x+3) and that all of the outputs are reduced, e.g. (4x+6) can be reduced to (2x+3). The program should produce a list of all of the combinations that can be imported into LaTeX.

The output of the program will produce results such as x2+5x+6=(x+2)(x+3). Any coefficients that are equal to one should be replaced with a null value. Your output should not produce results such as 1x2+5x+6=(1x+2)(1x+3).

Your program can be pasted into the textbox and an output pdf should also be provided. I should be able to copy your program and paste it into a VBA module and the output should be generated into an Excel worksheet.

Reference no: EM133258594

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