Sunday , June 4 2023

Algebra Formulas

The important algebra formulas used in Algebra are.

    \[(a + b)^2 = a^2 + 2.a.b + b^2\]

    \[ a^2 + b^2 = (a + b)^2 - 2.a.b\]

    \[ (a - b)^2 = a^2 - 2.a.b + b^2\]

    \[a^2 + b^2 = (a - b)^2 + 2.a.b\]

    \[ (a + b + c)^2 = a^2 + b^2 + c^2 + 2.(a.b + b.c + c.a)\]

    \[ (a + b)^3 = a^3 + b^3 + 3.a.b.(a + b)\]

    \[a^3 + b^3 = (a + b)^3 - 3.a.b.(a + b)\]

    \[(a - b)^3 = a^3 - b^3 - 3.a.b.(a − b)\]

    \[ a^3 - b^3 = (a − b)^3 + 3.a.b.(a − b)\]

    \[a^2 - b^2 = (a + b).(a − b)\]

    \[a^m.a^n=a^{m+n}\]

    \[\frac{a^m}{a^n}=a^{m-n}\]

    \[(a^m)^n=a^{mn}\]

 

 

Authored by howtocalculate

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