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a) \(97.13+130.0,3\\ =97.13+13.3\\ =13.\left(97+3\right)\\ =13.100=1300\)
b) \(86.153-530.8,6\\ =8,6.1530-530.8,6\\ =8,6.\left(1530-530\right)\\ =8,6.1000\\ =8600\)
đây có lẽ là toán lớp 5
a)97*13+130*0,3
=97*13+13*10*0,3
=97*13+13*3
=13*(97+3)
=13*100
=1300
b)86*153-530*8,6
=86*153-53*10*8,6
=86*153-53*86
=86*(153-53)
=86*100
=8600
a) 97.13 + 130.0,3
= 97.13 + 13.3
= 13. ( 97 + 3 )
= 13.100
=1300
b) 86.153 - 530.8,6
= 86.153 - 53.86
= 86. ( 153 - 53 )
= 86. 100
= 8600
( Toán lớp 8 đây hả ???)
~HT~
a) \(97\cdot13+130\cdot0,3=97\cdot13+13\cdot10\cdot0,3=13\cdot\left(97+10\cdot0,3\right)=13\cdot100=1300\)
b)\(86\cdot153-530\cdot8,6=8,6\cdot10\cdot153-53\cdot10\cdot8,6=10\cdot8,6\cdot\left(153-53\right)=10\cdot8,6\cdot100=8600\)
x=11
nên x+1=12
\(x^4-12x^3+12x^2-12x+111\)
\(=x^4-x^3\left(x+1\right)+x^2\left(x+1\right)-x\left(x+1\right)+111\)
\(=x^4-x^4-x^3+x^3+x^2-x^2-x+111\)
=111-x
=111-11=100
a) ĐKXĐ: \(\hept{\begin{cases}x+2\ne0\\x^2-4\ne0\\2-x\ne0\end{cases}}\) => \(\hept{\begin{cases}x\ne-2\\x\ne\pm2\\x\ne2\end{cases}}\) => \(x\ne\pm2\)
Ta có:Q = \(\frac{x-1}{x+2}+\frac{4x+4}{x^2-4}+\frac{3}{2-x}\)
Q = \(\frac{\left(x-1\right)\left(x-2\right)}{\left(x+2\right)\left(x-2\right)}+\frac{4x+4}{\left(x-2\right)\left(x+2\right)}-\frac{3\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}\)
Q = \(\frac{x^2-2x-x+2+4x+4-3x-6}{\left(x+2\right)\left(x-2\right)}\)
Q = \(\frac{x^2-2x}{\left(x+2\right)\left(x-2\right)}=\frac{x\left(x-2\right)}{\left(x+2\right)\left(x-2\right)}=\frac{x}{x+2}\)
b) ĐKXĐ P: x - 3 \(\ne\)0 => x \(\ne\)3
Ta có: P = 3 => \(\frac{x+2}{x-3}=3\)
=> x + 2 = 3(x - 3)
=> x + 2 = 3x - 9
=> x - 3x = -9 - 2
=> -2x = -11
=> x = 11/2 (tm)
Với x = 11/2 thay vào Q => Q = \(\frac{\frac{11}{2}}{\frac{11}{2}+2}=\frac{11}{15}\)
c) Với x \(\ne\)\(\pm\)2; x \(\ne\)3
Ta có: M = PQ = \(\frac{x+2}{x-3}\cdot\frac{x}{x+2}=\frac{x}{x-3}=\frac{x-3+3}{x-3}=1+\frac{3}{x-3}\)
Để M \(\in\)Z <=> 3 \(⋮\)x - 3
=> x - 3 \(\in\)Ư(3) = {1; -1; 3; -3}
Lập bảng:
x - 3 | 1 | -1 | 3 | -3 |
x | 4 | 2 (ktm) | 6 | 0 |
Vậy ...
a) \(A=\frac{1}{y-1}-\frac{y}{1-y^2}\left(y\ne\pm1\right)\)
\(\Leftrightarrow A=\frac{1}{y-1}+\frac{y}{\left(y-1\right)\left(y+1\right)}=\frac{y+1}{\left(y-1\right)\left(y+1\right)}+\frac{y}{\left(y-1\right)\left(y+1\right)}=\frac{2y+1}{\left(y-1\right)\left(y+1\right)}\)
Thay y=2 (tm) vao A ta co:
\(A=\frac{2\cdot2+1}{\left(2-1\right)\left(2+1\right)}=\frac{5}{3}\)
Vay \(A=\frac{5}{3}\)voi y=2
b) Ta co: \(\hept{\begin{cases}A=\frac{2y+1}{\left(y-1\right)\left(y+1\right)}\left(y\ne\pm1\right)\\B=\frac{y^2-y}{2y+1}=\frac{y\left(y-1\right)}{2y+1}\left(y\ne\frac{-1}{2}\right)\end{cases}}\)
\(\Rightarrow M=\frac{2y+1}{\left(y-1\right)\left(y+1\right)}\cdot\frac{y\left(y-1\right)}{2y+1}=\frac{\left(2y+1\right)\cdot y\cdot\left(y-1\right)}{\left(y-1\right)\left(y+1\right)\left(2y+1\right)}=\frac{y}{y+1}\)
y2-2y-9x2-6x
=3xy-9x2-6x+y2-3xy-2y
=3x(y-3x-2)+y(y-3x-2)
=(3x+y)(y-3x-2)
Tại x=3 và y=11 ta có:
Q=(3*3+11)(11-3*3-2)
=(3*3+11)(11-11)
=(3*3+11)*0=0
Vậy Q=0
97.13 + 130.0,3 = 97.13 + 13.10.0,3
= 97.13 + 13.3 = 13.(97 + 3) = 13.100=1300