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b. 24.3.5.10
= (24.5).(3.10)
= 120 . 30
=360
c.18.26.25.9
= (18.25.9).26
= 4050 . 26
=105300
d.125.98.2.8.25
=(125.8.2.25).98
=50000 . 98
=4900000
a,( 25 + 39 ) +21 = 25 + ( 39 + 21 ) = 25 + 60 =85
b,( 997+29 +3 +51)= ( 997 + 3 ) + ( 29 + 51 ) = 1000 + 80 = 1080
c. 578 + 125 + 422 + 375 = ( 578 + 422 ) + ( 125 + 375 ) = 1000 + 500 = 1500
d.915 + 85 + 117 + 23 = ( 915 + 85 ) + ( 117 + 23 ) = 1000 + 140 = 1140
\(A=\left(-8\right).25.\left(-2\right).4.\left(-5\right).125\)
\(=\left(-8\right).\left(-125\right).25.4.\left(-2\right).\left(-5\right)\)
\(=1000.100.10\)
\(=1000000\)
Vay \(A=1000000\)
\(B=19.25+9.25+19.50\)
\(=25.\left(19+9\right)+19.50\)
\(=25.28+19.50\)
\(=50.14+19.50\)
\(=50.\left(14+19\right)\)
\(=50.33\)
\(=1650\)
Vay \(B=1650\)
a) Ta co :
\(\left(a+b\right)\left(a-b\right)=a^2-ab+ab-b^2=a^2-b^2\)
\(\RightarrowĐPCM\)
b) Ta co :
\(a^2+2ab+b^2=a\left(a+b\right)+b\left(a+b\right)=\left(a+b\right)\left(a+b\right)=\left(a+b\right)^2\)
\(\RightarrowĐPCM\)
c) Ta co :
\(\left(x+1\right)\left(y+1\right)=xy+x+y+1\)
\(\RightarrowĐPCM\)
d) Ta có :
\(\left(a-b\right)-\left(c-d\right)=a-b-c+d=\left(a+d\right)-\left(b+c\right)\)
\(\RightarrowĐPCM\)
a= 506 -732 +(-2000)-506+1732= (1732 -732) + (506-506) +(-2000) = 1000+0+(-2000)=-1000
B= 1037 +(743 - 1031 + 57 ) =1037 + 743-1031+57=806
a)-35+(-4).4.5+(-2)5
=-35-4.4.5+(-32)
=-35-16.5-32
=-35-80-32
=-115-32
=-147
b)-(238)+113-213-(122)
=-234+113-213-122
=-121-213-122
=-334-122
=-456
c)17.(-27)+(-17).73
=-17.27+(-17).73
=-17.(27+73)
=-17.100
=-1700
a) \(53.\left(-15\right)+\left(-15\right).47=\left(-15\right).\left(53+47\right)=\left(-15\right).100=-1500\)
b) \(\left(-43\right).92-46.27+46.41=\left(-86\right).46-46.27+46.41\)
\(=46\left[\left(-86\right)-27+41\right]=46.\left(-72\right)=-3312\)
c) \(\left(-72\right)\left(15-49\right)+15\left(-56+72\right)=\left(-72\right).15-72.49+15.\left(-56\right)+15.72\)
\(=\left[\left(-72\right).15+15.72\right]-72.49-15.56=0-3528-840=4368\)
d) \(\left(-2^4\right).17.\left(-3\right)^0.\left(-5\right)^6\left(-1^{2n}\right)=16.17.1.12625.\left(-1^{2n}\right)\)
a,\(53.\left(-15\right)+\left(-15\right).47\)
\(=-15.\left(53+47\right)=-15.100=-1500\)
\(b,-43.92-46.27+46.41\)
\(=-43.92-\left[46.\left(27-41\right)\right]=-43.92-\left[46.\left(-14\right)\right]\)
\(=-3956+644=-3312\)
\(c,-72\left(15-49\right)+15\left(-56+72\right)\)
\(=-15.72+49.72+15.\left(-56\right)+15.72\)
\(=72.\left(-15+49+15\right)-15.56=3528-840=2688\)
a)2575 + 37 + 2576 -29
= ( 2575 - 2576 ) + ( 37 - 29)
= -1+ 8
= 8-1
= 7
a ; 14 . 25 . 6 . 7
= 2 . 7 .25 . 6 . 7
= ( 2. 25 . 6) . 7 . 7
= 300 . 49
= 14700
b; 24.3.5.10
= 2.12.5.10.3
= 2.5.10 . 12.3
= 100.36
=3600
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