Question

VA ROG DAU COROANA
Factorizați:
a)1000t^6z^6 - t^12
b) 1331a^6 - 64b^3

Answer 1

a)1000t^6z^6 - t^12=
=t^6(1000z^6 - t^6)=
=t^6(10^3z^6 - t^6)=
=t^6[(10z^2)^3 - (t^2)^3]=
=t^6(10z^2 - t^2)(100z^4+10z^2t^2+t^4)=
=t^6(z√10 - t)(z√10 + t)(100z^4+10z^2t^2+t^4)

 b) 1331a^6 - 64b^3 =(11a^2)^3 - (4b)^3 =
=(11a^2 - 4b) • (121a^4 + 44a^2b + 16b^2)