Ejercicios:

Operaciones con expresiones algebraicas.

Suma y resta.

1)           (189x³+379x²-467x-4621)+(421x³-1265x²-637x+16274)=610x³-886x²+1104x+11653.

189+421=610x³

379-1265=-886x²

-467-637=1104x

-4621+16274=11653

2)           (46825x³-314589x²+222x-163578)-(654189x²+16548x³-75391x⁵-7733x⁴+113344)=75391x⁵-7733x⁴+30277x³-968778x²+222x-276922.

75391x⁵

-7733x⁴

46825-16548=30277x³

-314589-654189=-968778x²

222x

-163578-113344=-276922

3)           (18/9x⁴+37/14x²-22/63x⁷-147369)-(-77/23x⁷+41/5x²+189/61x⁴-245/13)=5357/1449x⁷-201/183x⁴-389/70x²+1916042/13.

-22/63+77/23=5357/1449x⁷

18/9x⁴-189/61x⁴=603/549=-201/183x⁴

37/14x²-41/5x²=-389/70x²

-147369/1+245/13=1916042/13

MULTIPLICACION.

4)           (189x³)(189x¹¹)=35721x¹⁴

5)           (19x³-9y²)(7x²+11y³)=133x⁵+209x³y³-63x²y²-99y⁵.

19*7=133x⁵

19*11=209x³y³

-9*7=-63x²y²

-9*11=-99y⁵

6)           (17x²-25y³)(14x³+21x²-34x²y-18xy²)=238x⁵+357x⁴-578x⁴y-350x³y³+306x³y²+850x²y⁴-525x²y³+450xy⁵.

17*14=238x⁵                         -25*14=-350x³y³

17*21=357x⁴                         -25*21=-525x²y³

17*-34=-578x⁴y                     -25*-34=850x²y⁴

17*-18=306x³y²                     -25*-18=450xy⁵

7)           (15x⁴-8y³+12z²-33xyz)(45xyz+27x³-5z²-22y⁴)=405x⁷+630x⁵yz-330x⁴y⁴-75x⁴z²-891x⁴yz-216x³y³+324x³z²-1485x²y²z²-360xy⁴z+705xyz³+726xy⁵z+40y³z²-264y⁴z²+176y⁷-60z⁴.

15*45=630x⁵yz     -8*45=-360xy⁴z      12*45=540xyz³                                  

15*27=405x⁷       -8*27=-216x³y³      12*27=324x³z²

15*-5=-75x⁴z²    -8*-5=40y³z²         12*-5=-60z⁴

15*-22=-330x⁴y⁴  -8*-22=176y⁷       12*-22=-264y⁴z²

      -33*45=-1485x²y²z²

     -33*27=-891x⁴yz            540xyz³+165xyz³=705xyz³

    -33*-5=165xyz³

   -33*-22=726xy⁵z

EXPONENTES:

8)           (38X³Y)²=1444X⁶Y².

9)           (32X²-22Y³)^3/4=n/c

10)       (7X-3Y)(14Y-27X)=-189X²-42Y²+179XY=-34X³Y³

              7*14=98XY

             7*-27=-189X²

            -3*14=-42Y²

            -3*-27=81XY

           81+98=179XY.

DIVICIONES:

11)       (128X³-67X²+18X+49)/(4X)=32X²-16X+3/4^1/X+4+2/4^1/X+12^1/X+1/4^1/X.

12)       (x²-28x+36)/(x+6)=x-34(+240/x-34).

13)       (75x²-105x-25)/(5x+5)=15x-38(165/15x-38).

14)       (14x²-49x+71)/(2x+7)=7x-49(414/7x+49).