Ejercicios 9 y 10 de baldor
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Ejercicios 9 y 10 de baldor

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Ejercicios 9 y 10 de baldor Ejercicios 9 y 10 de baldor Document Transcript

  • EJERCICIO 9 y 10 DEL LIBRO DE BALDOREJERCICIO 9 (consta de 40 ejercicios) 9a-1. 9a-3a+5a=9a-3a=6a6a+5a=11a = 8x+9x-2. -8x+9x-x=-8x+9x=xx-x=0 = 12mn-23mn-3. 12mn-23mn-5mn=12mn-23mn=-11mn-11mn-5mn=-16mn =− x+19x-4. -x+19x-18x=-x+19x=18x18x-18x=0 = 19m-5. 19m-10m+6m=19m-10m=9m9m+6m=15m =
  • 6.-11ab-15ab+26ab=6.-11ab--11ab-15ab=-26ab-26ab+26ab=0 = .− + − =−5!" +9! " = 4! "4! " −35! " = −31! " =− &$ $ $#. −$% − + =−24! "( −15! "( = −39! "(−39! "( +39! "( = 0 = $9. ) + ) − ) =2 1 3 + =3 3 3R= ) − )10.-10.- − + − = % $ + - - &-(,&-/ &-0−, + . − ( = (/ = (/ &R= $11. # ²2 + % ²2 − ²2 =3 1 3+2 5 + = =8 4 8 8R=# ²2 − ²2 a+8a+9a-12. –a+8a+9a-15a=
  • -1+8+9-15=1R=a 7ab-11ab+20ab-13. 7ab-11ab+20ab-31ab=7ab-11ab+20ab-31ab=-15abR=-R=-15ab 25x²-14. 25x²-50x²+11x²+14x²=25-50+11+14=0R=0 xy-8xy-15. -xy-8xy-19xy+40xy=-1-8-19+40=12R=12xy 7ab+21ab-ab-16. 7ab+21ab-ab-80ab=7+21-1-80=-53R=-R=-53ab 25xy²+11xy²+60xy²-17. -25xy²+11xy²+60xy²-82xy²=-25+11+60-82=-36R=-36xy²R=-36xy²18.-72ax+87ax-18.-72ax+87ax-101ax+243ax=-72+87-101+243=157R=157ax 82bx-71bx-19. -82bx-71bx-53bx+206bx=-82bx-71bx-53bx=-206bx-206bx+206bx= 0 =20. 105 -464 +58 +301 =
  • 105!+ +58!+ +301!+ = 464!+464!+ -464!+ = 0R=021. $ x - x + % x- x=2345 2 30-20+15-12 = 13 x1325 2 60 601315 31115 5 m.c.m= 601111R=22. y - y + y- $ y=3 3 6 12 2 4-4+2-1 = 13336 2 12 123333 31111 m.c.m= 12R= $ ) $ $ $ $23. 2- 2+ 2- 2= - 0563 2 18-5+10 23 − =− = - +/533 3 30 30511 5111 m.c.m = 30 $R=−R= 224. - 2$ - 2$ + 2$ - 2$ = #
  • 5 1− !7 ( − !7( = −!7 ( + !7( = 0 6 6 3 3− !7 ( = − !7 ( 8 8R= # 2$R=− a+8a-11a+15a-25. a+8a-11a+15a-75a=8a+15a= 23a-11a-75a= -86a23a-86a = -64ªR=-R=-64a 7c+21c+14c-26. -7c+21c+14c-30c+82c=21c+14c+82c= 117c-7c-30c= -37c117c-37c = 80cR=80c mn+14mn-31mn-27. -mn+14mn-31mn-mn+20mn=14mn+20mn= 34mn-mn-31mn-mn= -33mn34mn-33mn= mnR=mn $ $ $ $ $28. y -7 y - 93 y + 51 y + 48 y=!( y + 51!( y + 48!( y = 100!( y - 7!( y - 93!( y = -100!( y100!( y -100!( y=0 =29. -a + a –a +a -3a + 6a =
  • -a - a – 3a = -5a2a + 6a = 8a8a – 5a=3a =$ $30. $ x + x - x + $ x – x=- ( - -/( x++x+(x= 9 x 0 -+- x–x= x 9 910 13 3 1 :− =− =−6 6 6 2 =− $31. -2x + %x + %x + x - x=+ - ;. x + .x + x = .x , -0-2x - x = - x 9 9; -0 -/ , x- x =− =−. 9 -( 9 =−32. 7 - 30 – 41 -9 + 73 =7! " + 73! " = 80!"- 30!" – 41! " -9 !" = -80!"80! " -80!" =0 = 33. - -7 − − $ + $ =-! "- - 7! "- − 11! "- − 20! "- = -39 ! "--39 !"- 26!"- = -13!"-
  • R=-R=-1334. a + 6a – 20a + 150a – 80a + 31a=a + 6a + 150a + 31a = 188a– 20a – 80a =−100!188! − 100! = 88!R=88a35. -9b - 11b -17b – 81b – b + 110b=-9b - 11b -17b – 81b – b = -119b-119b + 110b =-9bR=-R=-9b $ $ $ $ $ $36. - b + 15 b+ b - 85 b - 131 b + 39 b=15!( b + !( b + 39!( b = 55!( b-!( b - 85!( b - 131!( b = -217!( b55!( b -217!( b = -162!( b $R=-R=-162 b $ $ $ $ $ $37. #% − − % − +$ + =84<( : + 231<( : + 165<( : = 480<( :−501<( : − 604<( : − 715<( : = −1820<( :480<( : − 1820<( : = −940 $R= − % $ #. 2$ + 2$ − 2$ + % 2$ = %5 + ( 2 + ( 4 + ( 5 12 24 ! 7 + ! 7 + ! 7 = !+ 7 ( + !+ 7 ( + ! + 7 (6 3 1 6 18 65 + ( 12 + ( 24 + ( 15 + ( 12 + ( 72 + ( 99 + ( ! 7 + ! 7 + ! 7 = ! 7 + ! 7 + ! 7 = ! 76 18 6 18 18 18 18
  • 1 5 2 5 7− ! + 7 ( − ! + 7 ( = − !+ 7 ( − ! + 7 ( = − !+ 7 ( 4 8 8 8 899 + ( 7 + ( 5 ! 7 − ! 7 = 4 !+ 7 (18 8 8R=%R= # 2$ . % −# + +% −# − + =40! + 130! + 41! + 16! = 227!−81! − 83! − 91! = −255!−255! + 227! = −28!R=-R=-28a% . −$ 2+ $ 2− 2 + #% 2 − 2− 2−$ 2= =−21!7 − 60!7 − 31!7 − !7 − 23!7 = −136!752!7 + 84!7 = 136!7136!7 − 136!7 = 0R=0EJERCICIO 10 (consta de 20 ejercicios)1. = − > + = − %>= =7a + 6a = 13a−9b − 4b = −13b?= =− >$. = + > − @ − > − @ + $@ − = =a−a=0b−b= 0−c − c = −2c + 2c = 0R=
  • . A − B− +$ A− − B= =5x + 20x = 25x −11y − y = −12y −9 − 1 = −10 ? = $ A − $B − %. − C + #D + −C−D− C− = −6m − m − 6m = −13m 8n − n = 7n 5 − 11 = −6 ?=− C+ D− 5. -a+b+2b-2c+3a+2c-3b= 5. -a+b+2b-2c+3a+2c-3b= -a+3a= 2a 1b+2b-3b=0 -2c+2c=0 R=2a R=2a 6. -81x+19y-30z+6y+80x+x-25y= 6. -81x+19y-30z+6y+80x+x-25y= -81x+80x+1=0 19y+6y-25y=0 -30z=-30z R=-30z R=-30z 7. 15a2-6ab-8a2+20-5ab-31 $ -ab= 7. 15a 6ab- +20-5ab-31+= ab= 15a2-8a2+a2= 8a2 -6ab-5ab=-11ab-ab= -12ab 20-31=-11 R=8a2-12ab-11 12ab-11
  • 8. -3a+4b-6a+81b-114b+31a-a-b= 3a+4b-6a+81b-114b+31a--3a-6a=-9a+31a=22a-1a=21a4b+81b=85b-114b=-29-1=-30bR=21a-R=21a-30b9. -71a3b-84a4b2+50a3b+84a4b2-45a3b+18a3b=-71a3b+50a3b=-21a3b-45a3b=-66a3b+18a3b=-48a3b-84a4b2+84a4b2=0R=-R=-48a3b a+b-c+8+2a+2b-19-2c-3a-10. -a+b-c+8+2a+2b-19-2c-3a-3-3b+3c=-1a+2a=a-3a=-2ab+2b=3b-3b=0-c-2c=-3c+3c=08-19=-11-3=-14R=-2a-R=-2a-14 +71mn-11. m2+71mn-14m2-65mn+m3-m2-115m2+6m3 =m2-14m2=-13m2-m2=-14m2-115m2=-129m271mn-65mn=6mnm3+6m3=7m3R=-129m2+6mn+7m3R=-12. X4y-x3 y2+x2 y-8x4 y-x2 y-10+x3 y2-7x3 y2-9+21x4 y-y3+50=X4 y-8x4 y=-7x4 y+21x4 y=14x4 y-x3 y2+x3y2=0-7x3y2=-7x3y2x2 y-x2 y=0-10-9=-19+50=31-y3=-y3
  • R=14x4 y-7x3y2+31-y3 +31- $ $ $ . − 2 − #G − − + %2 − −2 + +G + G =5! "- − 5! "- = 0−37 "( + 47 "( − 7 "( = 0−3H "+ − 8H "+ + H "+ + 7H "+ = 0−50 − 65 + 90 = −25R=-R=-25 $ $ $ %. − − +#− + − + − =!I( − 3!I( + !I( = −!I(−: I+ + 5: I+ − 5: I+ = −: I+-5+8-6=-3 $ =− − −15. 0.3a+0.4b+0.5c-0.6a-0.7b-0.9c+3a-3b-3c= 0.3a+0.4b+0.5c-0.6a-0.7b-0.9c+3a-3b-0.3a-0.6a+3a=2.7a0.4b-0.7b-3b=-3.3b0.5c-0.9c-3c=-3.4cR=2.7a-3.3b-R=2.7a-3.3b-3.4c . + 2+$ − 2− − 2+ − = $ % % $1 3 3 ! + 2! − ! = 1 !2 4 41 1 17 7 − 37 − 7 = − 73 6 63 1 1 − =4 2 4 = + 2+ % %
  • $ $ $ . −$ + − +$ −$ 3 ( 1 3 < + <( − 2<( = −1 <( 5 10 10 1 1−2<J − <J + 2<J = − <J 3 3 $ = − $ #. − + 2 − 2$ + $ $ − 2 + 2$ − 2$ − $ 2 = % $ % 1 3 72 ! ( − ! ( = 1 !( 3 4 121 3 1 !7 − !7 − 2!7 = −2 !7 2 4 4 5 1 1− b( + b( − b( = −b( 6 6 3R= =$ − $ => − >$ $ % $ . . %A $ B + + AB $ − . B − A $ B − . $AB $ + B − = # %4 ( 2 x y − x ( y = 0 10 531-6=25 3 ( 2 7 ( xy − xy ( = xy 8 10 40 6 + 1 + 7− y + y = − y+ 10 4 20?=$ + AB $ − B % $$ . =C& − >C&$ + =C& − >C&$ − . $=C& + >C&$ $ $3 K&- 3 K&- 2 K&- 13 K&- a + a − a = a 25 5 10 25
  • 7 K&( 1 1 1 K&(− b − bK&( + bK&( = b 50 25 5 50?= =C& + >C&$ $