x⁴+y⁴+z⁴-2x²y²-2x²z²+2y²z² Factorization

x⁴+y⁴+z⁴-2x²y²-2x²z²+2y²z² Factorization

=x⁴-2x²y²+y⁴-2x²z²+2y²z²+z⁴=(x²-y²)²-2(x²-y²)z²+z⁴=(x²-y²-z²)²

It is proved that X & # 8308; + Y & # 8308; + Z & # 8308; - 2x & # 178; Y & # 178; - 2x & # 178; Z & # 178; - 2Y & # 178; Z & # 178; can be divisible by X + y + Z

The original formula = (x ^ 2 + y ^ 2) ^ 2 - 2Z ^ 2 (x ^ 2 + y ^ 2) + Z ^ 4 - 4x ^ 2Y ^ 2 = (x ^ 2 + y ^ 2-z ^ 2) ^ 2-4x ^ 2Y ^ 2 = (x ^ 2 + y ^ 2-z ^ 2 + 2XY) (x ^ 2 + y ^ 2-z ^ 2-2xy) = [(x + y) ^ 2-z ^ 2] [(X-Y) ^ 2-z ^ 2] = (x + y + Z) (X-Y + Z) (X-Y-Z) has been proved

∫ e ^ 3-4x DX for indefinite integral

∫e^(3-4x) dx
=-1/4∫e^(3-4x) d(3-4x)
=-1/4e^(3-4x) +C