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31-10-2022
Mathematics

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Evaluate the following expression using the difference of squares factoring:86 to the power of 2- 14 to the power of 2

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JakarionM424630 JakarionM424630

31-10-2022

SOLUTION:

Case: Difference of two squares

Method:

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Hence:

[tex]\begin{gathered} 86^2-14^2 \\ =(86+14)(86-14) \\ =100\times72 \\ =7200 \end{gathered}[/tex]

Final answer:

7200

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