Question

simplify each of the following (a²+1-a) (a²-1+a)​

Answer 1

Answer:

$( {a}^{2} + 1 - a)( {a}^{2} - 1 + a) \\ = \{ {a}^{2} + (1 - a) \} \{ {a}^{2} - (1 - a) \} \\ =( {a}^{2} ) {}^{2} - (1 - a) {}^{2} \\ = {a}^{4} - ( {1}^{2} - 2a + {a}^{2} ) \\ = {a}^{4} - {a}^{2} + 2a - 1$