rút gọn : 30x10^8x5^4-25^6x16^2x3:75^3x20^4+3^3x5^10x32^2
A)A=25.(231+900)+75,231-900.24
B)B=6^2:2x3+4^2x3^4x79-2^3x5
b: \(B=18\cdot3+16\cdot81\cdot79-8\cdot5\)
=102398
rút gọn các phân số sau
a/ 2^3x3^4 / 2^2x3^2x5
2^4x5^2x11^2x7 / 2^3x5^3x7^2x11
b/ 121x75x130x169 / 39x60x11x198
c/1998x1990+3978 / 1992x1991-3984
a/\(\frac{2^3\cdot3^4}{2^2\cdot3^2\cdot5}=\frac{18}{5}\)\(\frac{2^4\cdot5^2\cdot11^2\cdot7}{2^3\cdot5^3\cdot7^2\cdot11}=\frac{2\cdot11}{5\cdot7}=\frac{22}{35}\)
b/\(\frac{121\cdot75\cdot130\cdot169}{39\cdot60\cdot11\cdot198}=\frac{11^2\cdot5^3\cdot13^3\cdot2\cdot3}{2^3\cdot3^4\cdot5\cdot11^2\cdot13}=\frac{5^2\cdot13^2}{2^2\cdot3^3}=\frac{4225}{108}\)
c/\(\frac{1998\cdot1990+3978}{1992\cdot1991-3984}=\frac{2^2\cdot3^3\cdot37\cdot5\cdot199+2\cdot3^2\cdot13\cdot17}{2^3\cdot3\cdot83\cdot11\cdot181-2^4\cdot3\cdot83}=\frac{2\cdot3^2\cdot11\cdot20101}{2^3\cdot3^3\cdot13\cdot17\cdot83}=\frac{11\cdot20101}{2^2\cdot3\cdot13\cdot17\cdot83}\)
Tính và rút gọn kết quả thành PSTG
4/3x1 x 9/2x4 x 16/3x5 x 25/4x6
43𝑥1⋅92⋅𝑥4𝑥163⋅𝑥5⋅254⋅𝑥6
12𝑥12⋅𝑥4𝑥163⋅𝑥5⋅254⋅𝑥6
chúc bạn học tốt
4/3x1x9/2x4x16/3x5x25/4x6=172800/144=1200/1
tk nha
rút gọn : \(\dfrac{30.10^8.5^4-25^6.16^2.3}{75^3.20^4+3^3.5^{10}.32^2}\) mn giúp mk với ạ
Bài 4 Cho hai đa thức: P(x) = 8x5 + 7x - 6x2 - 3x5 + 2x2 + 1
Q(x) = 4x5 + 3x - 2x2 + x5 - 2x2 + 8
a/ Thu gọn và sắp xếp hai đa thức trên theo lũy thừa giảm dần của biến ?
b/Tính P(x) + Q(x) c/ Tìm x để P(x) =Q(x) ?
a, \(P\left(x\right)=5x^5-4x^2+7x+1;Q\left(x\right)=5x^5-4x^2+3x+8\)
b, \(P\left(x\right)+Q\left(x\right)=10x^5-8x^2+10x+9\)
c, \(P\left(x\right)=Q\left(x\right)\Rightarrow7x+1=3x+8\Leftrightarrow4x=7\Leftrightarrow x=\dfrac{7}{4}\)
a/ \(P\left(x\right)=8x^5+7x-6x^2-3x^5+2x^2+1\)
\(=8x^5-3x^5-6x^2+2x^2+7x+1\)
\(=5x^5-4x^2+7x+1\)
\(Q\left(x\right)=4x^5+3x-2x^2+x^5-2x^2+8\)
\(=4x^5+x^5-2x^2-2x^2+3x+8\)
\(=5x^5-4x^2+3x+8\)
b/ \(P\left(x\right)=5x^5-4x^2+7x+1\)
+ \(Q\left(x\right)=5x^5-4x^2+3x+8\)
____________________________
\(P\left(x\right)+Q\left(x\right)=10x^5-8x^2+10x+9\)
c/ \(P\left(x\right)=Q\left(x\right)\)
\(\Rightarrow5x^5-4x^2+7x+1=5x^5-4x^2+3x+8\)
\(\Rightarrow7x+1=3x+8\)
\(\Rightarrow4x-7=0\)
\(\Rightarrow x=\dfrac{7}{4}\)
Rút gọn các phân thức sau
1) 9 - ( x + 5)2 / x2 + 4x + 4
2) 32x - 8x2 + 2x3 / x3 + 64
3) 5x3 + 5x / x4 -1
4) 3x2 - 12x + 12 / x4 - 8x
5) 2a2 - 2ab / ac + ad - bc -bd
6) x2 - xy / y2 - x2
7) 2 - 2a / a3 - 1
8) x7 - x4 / x6 - 1
9) ( x + 2 )2 - ( x - 2)2 / 16x
10) 24,5x2 - 0,5y2 / 3,5x2 - 0,5xy
11) a3 - 3a2 + 2a - 6 / a2 +2
12) ( a - b) ( c - d) / (b2- a2) ( d2 - c2)
Giúp mình với ạ, mình cảm ơn !
1: \(=\dfrac{-\left[\left(x+5\right)^2-9\right]}{\left(x+2\right)^2}=\dfrac{-\left(x+5-3\right)\left(x+5+3\right)}{\left(x+2\right)^2}\)
\(=\dfrac{-\left(x+2\right)\left(x+8\right)}{\left(x+2\right)^2}=\dfrac{-\left(x+8\right)}{x+2}\)
2: \(=\dfrac{2x\left(x^2-4x+16\right)}{\left(x+4\right)\left(x^2-4x+16\right)}=\dfrac{2x}{x+4}\)
3: \(=\dfrac{5x\left(x^2+1\right)}{\left(x^2-1\right)\left(x^2+1\right)}=\dfrac{5x}{x^2-1}\)
4: \(=\dfrac{3\left(x^2-4x+4\right)}{x\left(x^3-8\right)}=\dfrac{3\left(x-2\right)^2}{x\left(x-2\right)\left(x^2+2x+4\right)}\)
\(=\dfrac{3\left(x-2\right)}{x\left(x^2+2x+4\right)}\)
5: \(=\dfrac{2a\left(a-b\right)}{a\left(c+d\right)-b\left(c+d\right)}=\dfrac{2a\left(a-b\right)}{\left(c+d\right)\left(a-b\right)}=\dfrac{2a}{c+d}\)
6: \(=\dfrac{x\left(x-y\right)}{\left(x-y\right)\left(x+y\right)}\cdot\left(-1\right)=\dfrac{-x}{x+y}\)
7: \(=\dfrac{2\left(1-a\right)}{-\left(1-a^3\right)}=\dfrac{-2\left(1-a\right)}{\left(1-a\right)\left(1+a+a^2\right)}=-\dfrac{2}{1+a+a^2}\)
8: \(=\dfrac{x^4\left(x^3-1\right)}{\left(x^3-1\right)\left(x^3+1\right)}=\dfrac{x^4}{x^3+1}\)
9: \(=\dfrac{\left(x+2-x+2\right)\left(x+2+x-2\right)}{16x}=\dfrac{4\cdot2x}{16x}=\dfrac{1}{2}\)
10: \(=\dfrac{0.5\left(49x^2-y^2\right)}{0.5x\left(7x-y\right)}=\dfrac{1}{x}\cdot\dfrac{\left(7x-y\right)\left(7x+y\right)}{7x-y}\)
\(=\dfrac{7x+y}{x}\)
Rút gọn biểu thức:
A=75(41993+41992+…+42+5)+25
Rút gọn
a) \(\frac{2^3x3}{2^2x3^2x5}\)
b) \(\frac{\left(-2\right)^3x3^3x5^5x7x8}{3x2^4x5^3x14}\)
ê ku dạng nào z
tui cg l 6
Rút gọn biểu thức:
A=2^2/1x3 x 3^2/3x4 x 4^2/3x5 x...x 99^2/98x100