1. Thực hiện các phép tính sau:
a) 4.25 - 12.5 + 170 : 10;
b) (7 + 33 : 32).4 - 3;
c) 12 : {400 : [500 - (125 + 25.7)]};
d) 168 + {[2. (24 + 32) - 2560] : 72}.
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a) 12 : { 400 : [ 500 - ( 125 + 25 . 7 )]}
= 12 : { 400 : [ 500 - ( 125 + 175 )]}
= 12 : { 400 : [ 500 - 300 ]}
= 12 : { 400 : 200 }
= 12 : 2
= 6
b) 5 . 22 - 18 : 3
= 110 - 6
= 104
c) 18 : 3 + 182 + 3 . ( 51 : 17 )
= 6 + 182 + 3.3
= 6 + 182 + 9
= 197
d) 25.8 - 12.5 + 170 : 17 - 8
= 1000 - 60 + 10 - 8
= 940 + 10 - 8
= 940 + 2
= 942
a,27.75+25.27-150
=27.(75+25)-150
=27.100-150
=2700-150
=2550
c,13.17-256:16+14:7-1
=221-16+2-1
=205+2-1
=208-1
=207
d,18:3+182+3.(51:17)
=18:3+182+3.3
=6+182+9
=188+9
=197
e,15-25:8(100.2)
=15-25:8.200
=15-3,125.200
=15-625
=-610
f,25.8-12.5+170:17-8
=200-60+10-8
=140+10-8
=150-8
=142
a: \(\left(-5\right)\cdot4=-5\cdot4=-20\)
b: \(6\cdot\left(-7\right)=-6\cdot7=-42\)
c: \(\left(-14\right)\cdot20=-14\cdot20=-280\)
d: \(51\cdot\left(-10\right)=-51\cdot10=-510\)
a)
b) (x – 1)(x + 1)(x2 + 1)
= [x .(x + 1) – 1 .(x + 1)] . (x2 + 1)
= {x.x + x.1 + (-1).x + (-1).1}. (x2 + 1)
= (x2 + x – x – 1) . (x2 + 1)
= (x2 – 1) . (x2 + 1)
= x2 . (x2 +1) – 1.(x2 + 1)
= x2 . x2 + x2 . 1 – (1.x2 + 1.1)
= x4 + x2 – (x2 + 1)
= x4 + x2 – x2 – 1
= x4 – 1
a: Sửa đề: \(\sqrt[3]{\left(4-2\sqrt{3}\right)\cdot\left(\sqrt{3}-1\right)}\)
\(=\sqrt[3]{\left(\sqrt{3}-1\right)^2\cdot\left(\sqrt{3}-1\right)}\)
\(=\sqrt[3]{\left(\sqrt{3}-1\right)^3}=\sqrt{3}-1\)
b: \(\sqrt{3+\sqrt{3}+\sqrt[3]{10+6\sqrt{3}}}\)
\(=\sqrt{3+\sqrt{3}+\sqrt[3]{\left(\sqrt{3}\right)^3+3\cdot\left(\sqrt{3}\right)^2\cdot1+3\cdot\sqrt{3}\cdot1^2+1^3}}\)
\(=\sqrt{3+\sqrt{3}+\sqrt[3]{\left(\sqrt{3}+1\right)^3}}\)
\(=\sqrt{3+\sqrt{3}+\sqrt{3}+1}\)
\(=\sqrt{\left(\sqrt{3}+1\right)^2}=\sqrt{3}+1\)
\(a\)\(=6+182+3.3\)
\(=188+9=197\)
\(b;15-200:50\)
\(=15-4=11\)
\(c;200-60+\frac{170}{7}-8\)
\(=140+\frac{114}{7}\)
\(=\frac{1094}{7}\)
a)18 : 3 + 182 + 3.(51:17)
= 6 + 182 + 3.3
= 188 + 9
= 197
b) 15 - 25.8:(100:2)
= 15 - 200 : 50
= 15 - 4
= 11
c) 25.8 - 12.5 + 170:17 - 8
= 200 - 60 + 10 - 8
= 142
A)23
B)10
C)6
D)169
a)8,75
b)10
c)6
d)169