Question

factories: x⁴-(x-y)⁴​

Answer 1

Step-by-step explanation:

${x}^{4} - (x - y) {}^{4} \\ = ( {x}^{2} + (x - y ){}^{2} ) \: (x {}^{2} - (x - y) {}^{2} ) \\ = (x {}^{2} + (x {}^{2} - 2xy + y {}^{2} )) \: \: (x {}^{2} - (x {}^{2} - 2xy + y {}^{2} )) \\ = (x {}^{2} + x {}^{2} - 2xy - y {}^{2} ) \: (x {}^{2} - x {}^{2} + 2xy - y {}^{2} \\ = (2x {}^{2} - 2xy - y {}^{2} ) \: (2xy - y {}^{2} )$