बीजगणित सूत्रे

बीजगणित सामान्य सूत्र (Math Algebra Basic Formula) :-

    (AX+BY) = X(A+B)
    (X+Y)2  =X2+Y2+2XY
    (X-Y)2  =X2+Y2-2XY
    X2-Y2 = (X+Y)(X-Y)
    X3+Y3 = (X+Y)(X2-XY+Y2)
    X3-Y3 = (X-Y)(X2+XY+Y2)
    (X+Y)3 = X3+Y3+3XY(X+Y)
    (X-Y)3 = X3-Y3-3XY(X-Y)
    (X+Y+Z)2 = X2+Y2+Z2+2(XY+YZ+ZX)
    (X+Y-Z)2 = X2+Y2+Z2+2(XY-YZ-ZX)
    (X-Y+Z)2 = X2+Y2+Z2+2(-XY-YZ+ZX)
    (X+Y+Z)3 = X3+Y3+Z3+3(X+Y)(Y+Z)(Z+X)
    X3+Y3+Z3-3XYZ = (X+Y+Z)(X2+Y2+Z2-XY-YZ-ZX)

      यदि यहाँ  X+Y+Z =0  तब
                                     X3+Y3+Z3=3XYZ