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\(\left(-67\right)+125+\left(-33\right)+75\)
\(=\left[\left(-67\right)+\left(-33\right)\right]+\left(125+75\right)\)
\(=100+200=300\)
_______
\(86.\left(-108\right)+86.9-86\)
\(=86.\left[\left(-108\right)+9-1\right]\)
\(=86.\left(-100\right)=-8600\)
_______
\(23.\left(-16\right)-23.84+300\)
\(=23.\left[\left(-16\right)-84\right]+300\)
\(=23.\left(-100\right)+300\)
\(=-2300+300\)
\(=-2000\)
______
\(235-5\left[\left(5^3-3^3\right):14\right]\)
\(=235-5\left[\left(125-27\right):14\right]\)
\(=235-5\left[98:14\right]\)
\(=235-5.7\)
\(=235-35\)
\(=200\)
_______
\(95-\left(129-74\right):5+2022^0\)
\(=95-55:5+1\)
\(=95-11+1\)
\(=84+1=85\)
\(#NqHahh\)
Bài 2:
a) \(\left(3x+2\right)^3=-64\)
\(\Leftrightarrow\left(3x+2\right)^3=\left(-4\right)^3\)
\(\Leftrightarrow3x+2=\left(-4\right)\)
\(\Leftrightarrow3x=-4-2\)
\(\Leftrightarrow3x=-6\)
\(\Leftrightarrow x=-2\)
b) \(2x-3=-33\)
\(\Leftrightarrow2x=-33+3\)
\(\Leftrightarrow2x=-30\)
\(\Leftrightarrow x=-15\)
A= \(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{35}+\frac{1}{99}=\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}\)
\(2A=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.6}+...+\frac{2}{9.11}\)
\(2A=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{11}\)
\(2A=1-\frac{1}{11}=\frac{10}{11}\)
\(A=\frac{10}{11}:2=\frac{5}{11}\)
\(D=\frac{3^2}{1.4}+\frac{3^2}{4.7}+...+\frac{3^2}{13.16}\)
\(D=3.\left(\frac{3}{1.4}+\frac{3}{4.7}+...+\frac{3}{13.16}\right)\)
\(D=3.\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{13}-\frac{1}{16}\right)\)
\(D=3.\left(1-\frac{1}{16}\right)=3.\frac{15}{16}=2\frac{13}{16}\)
1. 11(x-9)=77
x-9=7
x=16
2. 4(x-3)=48
x-3=12
x=15
3.3(x-8)=81
(x-8)=27
x=35
A=2+22+23+...+299+2100A=2+22+23+...+299+2100
⇒2A=22+23+24+...+2100+2101⇒2A=22+23+24+...+2100+2101
⇒A=2101−2⇒A=2101−2
B=3+32+33+...+399+3100B=3+32+33+...+399+3100
⇒3B=32+33+34+...+3100+3101⇒3B=32+33+34+...+3100+3101
⇒2B=3101−3⇒2B=3101−3
⇒B=3101−32
a
(6x-39):3=201
<<=>6x-39=603
<=>6x=642
<=>107
b
23+3x=5^6:5^3
<=>23+3x=5^3
<=>23+3x=125
<=>3x=102
<=>x=34
c
12.x-33=3^2.3^3
<=>12x-33=243
<=>12x=276
<=>x=23
0.2.1.23.3.3.33.3.3.3.3.3.3.3.3.3.3=0