Question

EFECTUATI ,UTILIZAND FACTORUL COMUN.c)9^1001+9^1001+7x9^999         d)7x4^35+2x4^36-4^34.....e)13^14x3-13^13x2-13^12....f)8^200-3x8^198+2x8^197.....g)46^135+5x46^136-46^134.......h)3^n+2+7x3^n+3-5x3^n+1                                             PS....^=LA PUTERE

Answer 1

d)7x4³⁵+2x4³⁶-4³⁴=4³⁴(7x4+2x4²-1)=4³⁴(28+32-1)=4³⁴x59
e)13¹⁴x3-13¹³x2-13¹²=3¹²(3²x3+3x2-1)=3¹²x35
f)8²°°-3x8¹⁹⁸+2x8¹⁹⁷=8¹⁹⁷(8³-3x8+2)=8¹⁹⁷(512-24+2)=8¹⁹⁷x490
g)46¹³⁵+5x46¹³⁶-46¹³⁴=46¹³⁴(46¹+5x46²-1)=46¹³⁴(46+10580-1)=46¹³⁴x10625
h)3^n+2+7x3^n+3-5x3^n+1 =3^n+1(3+7x3²-5)=3^n+1x61