MR-134 / 134. példa

Hozza egyszerűbb alakra az alábbi kifejezést:

2x+2-x22-2x-2-x22+1

2x+2-x22-2x-2-x22+1

=2x+12x222-2x-12x222+1

=2x·2x+12x2221-2x·2x-12x2221+1

=22x+122x2221-22x-122x2221+1

=22x+1222·22x-22x-1222·22x+1

=22x+1222x+2-22x-1222x+2+1

=22x+12-22x-1222x+2+1

=22x2+2·22x·1+1-22x2-22x·2+12·+2+1

=24x+2·22x·1+1-24x-22x+1+12·+2+1

=24x+22x+1+1-24x+22x+1-122x-2+1

=24x+22x+1+1-24x+22x+1-122x-2+1

=2·22x+122x+2+1

=22x+1+122x+2+1

=22x+222x+2+1

=1+1

=2