a) 1/2 x 1/3 x1/4 b) 1/2 x 1/3 : 1/4
c) 1/2 : 1/3 X 1/4 d) 1/2 : 1/3 : 1/4
bài1. tính : a. 3 và 2/5 - 1/2 b. 4/5 + 1/5 x 3/4 c. 3 và 1/2 x 1 và 1/7 d. 4 và 1/6 : 2 và 1/3
bài2 : tính : a. 3 x 1/2 +1/4 x1/3 b. 1 và 4/5 - 2/3 : 2 và 1/3
bài 3 tìm x: a. X x 4/5 = 2 và 1/2 b. x : 3/2 = 11/4 - 5/2
sos
Bài 1
a) 3 2/5 - 1/2
= 17/5 - 1/2
= 34/10 - 5/10
= 29/10
b) 4/5 + 1/5 × 3/4
= 4/5 + 3/20
= 16/20 + 3/20
= 19/20
c) 3 1/2 × 1 1/7
= 7/2 × 8/7
= 4
d) 4 1/6 : 2 1/3
= 25/6 : 7/3
= 25/14
Bài 2
a) 3 × 1/2 + 1/4 × 1/3
= 3/2 + 1/12
= 18/12 + 1/12
= 19/12
b) 1 4/5 - 2/3 : 2 1/3
= 9/5 - 2/3 : 7/3
= 9/5 - 2/7
= 63/35 - 10/35
= 53/35
Bài 1
a) 3 2/5 - 1/2
= 17/5 - 1/2
= 34/10 - 5/10
= 29/10
b) 4/5 + 1/5 × 3/4
= 4/5 + 3/20
= 16/20 + 3/20
= 19/20
c) 3 1/2 × 1 1/7
= 7/2 × 8/7
= 4
d) 4 1/6 : 2 1/3
= 25/6 : 7/3
= 25/14
bủh
phân tích đa thức thành nhân tử
x^2 (x^4 - 1 ) ( x^2 + 2) + 1
9 ( x + 4/3 )( x + 2/3 )( x- 1/3 )( 1 -x ) - 4 ( x +1/3 )
2x^3 + 3x^2 + 8x - 5
( a + b - 3c )^2 ( a + b + 4c )^2 - 29c^2
2x3+3x2+8x-5=2x3-x2+4x2-2x+10x-5
=x2.(2x-1)+2x.(2x-1)+5.(2x-1)
= (2x-1).(x2+2x+5)
a)5/10+3/5 b)3/2+5/4
c)5/2-3/8 d)x:3/4=1/7
e)X x3/2=1/8
a,=5/10+6/10
=11/10
b,=6/4+5/4
=11/4
c,=20/8-3/8
=17/8
d,x=1/7.3/4
x=3/28
e,x=1/8:3/2
x=1/8.2/3
x=1/12
a) \(\dfrac{5}{10}+\dfrac{3}{5}=\dfrac{5}{10}+\dfrac{6}{10}=\dfrac{11}{10}\)
b) \(\dfrac{3}{2}+\dfrac{5}{4}=\dfrac{6}{4}+\dfrac{5}{4}=\dfrac{11}{4}\)
c) \(\dfrac{5}{2}-\dfrac{3}{8}=\dfrac{20}{8}-\dfrac{3}{8}=\dfrac{17}{8}\)
d) \(x:\dfrac{3}{4}=\dfrac{1}{7}\)
\(x=\dfrac{1}{7}\times\dfrac{3}{4}\)
\(x=\dfrac{3}{28}\)
e) \(X\times\dfrac{3}{2}=\dfrac{1}{8}\)
\(X=\dfrac{1}{8}:\dfrac{3}{2}\)
\(X=\dfrac{1}{8}\times\dfrac{2}{3}\)
\(X=\dfrac{1}{12}\)
a). \(\dfrac{5}{10}+\dfrac{3}{5}\)
\(=\dfrac{5}{10}+\dfrac{6}{10}\)
\(=\dfrac{11}{10}\)
b).\(\dfrac{3}{2}+\dfrac{5}{4}\)
\(=\dfrac{6}{4}+\dfrac{5}{4}\)
\(=\dfrac{11}{4}\)
c).\(\dfrac{5}{2}-\dfrac{3}{8}\)
\(=\dfrac{20}{8}-\dfrac{3}{8}\)
\(=\dfrac{17}{8}\)
d). \(x:\dfrac{3}{4}=\dfrac{1}{7}\)
\(x=\dfrac{1}{7}.\dfrac{3}{4}\)
\(x=\dfrac{3}{28}\)
e). \(x.\dfrac{3}{2}=\dfrac{1}{8}\)
\(x=\dfrac{1}{8}:\dfrac{3}{2}\)
\(x=\dfrac{1}{8}.\dfrac{2}{3}\)
\(x=\dfrac{2}{24}=\dfrac{1}{12}\)
Bài 3. Rút gọn biểu thức: a)x+3+√x² - 6x +9 (x ≤3) b)√x² + 4x +4-√√x² (-2≤x≤0) C)√x²-2x+1 phần x-1 -(x>1) d) x-2/+ √x²-4x+4 x-2 (x1. F,2(a−1) –5a Với a0
a: A=x+3+|x-3|
=x+3+3-x(x<=3)
=6
b:\(B=\sqrt{x^2+4x+4}-\sqrt{x^2}\)
\(=\left|x+2\right|-\left|x\right|\)
=x+2-x=2
c: \(C=\dfrac{\sqrt{x^2-2x+1}}{x-1}\)
\(=\dfrac{\left|x-1\right|}{x-1}=\dfrac{x-1}{x-1}=1\)
3x^4 + 3x^2y^2 + 6x^3y - 27x^2
x^4 + x^3 - x^2 + x
2x^5 - 6x^4 - 2a^2x^3 - 6ax^3
x^5 + x^4 + x^3 + x^2 + x + 1
x^3 - 1 + 5x^2 - 5 + 3x - 3
1/4.(a + 1)^2 - 4/9.(a - 2)^2
12a^2b^2 - 3.(a^2b^2)^2
4x^2y^2 - (x^2 + y^2 - a^2)^2
(a + b + c)^2 + (a + b - c)^2 - 4c^2
x^3 - 1 + 5x^2 - 5 + 3x - 3
tìm x biết:
a. 2.3^x - 405=3^(x-1)
b. (3/4)^x = 2^8/3^4
c. (5x+1)^2=36/49
d. (x+1)^(x+10)= (x+1)^(x+4)
Bài 1:giải các phương trình sau:
a) x-5=1/3(x+2) b)x/3+x/4=x/5-x/6 c)3x(2x-3)-3(3+2x^2)=0 d)(x1)^2-x(x+1)+3(x-2)+5=0
Bài 2:giải các phương trình sau
a)x/2-2x/3+1/4=2/3 b)x-2 trên 3 -2x-3 trên 4= x-1 c)5x-2 trên 3+1/2=2(x-1)-3(x-1) trên 6
\(x-5=\frac{1}{3\left(x+2\right)}\left(đkxđ:x\ne-2\right)\)
\(< =>3\left(x-5\right)\left(x+2\right)=1\)
\(< =>3\left(x^2-3x-10\right)=1\)
\(< =>x^2-3x-10=\frac{1}{3}\)
\(< =>x^2-3x-\frac{31}{3}=0\)
giải pt bậc 2 dễ r
\(\frac{x}{3}+\frac{x}{4}=\frac{x}{5}-\frac{x}{6}\)
\(< =>\frac{4x+3x}{12}=\frac{6x-5x}{30}\)
\(< =>\frac{7x}{12}=\frac{x}{30}< =>12x=210x\)
\(< =>x\left(210-12\right)=0< =>x=0\)
\(3x\left(2x-3\right)-3\left(3+2x^2\right)=0\)
\(< =>6x^2-9x-9-6x^2=0\)
\(< =>-9x-9=0< =>9x+9=0\)
\(< =>x=-\frac{9}{9}=-1\)
1) Tính NHa
a)563x23+23x38-23
b)7/11+3/4+4/11+1/4-1và2/5
c)(1-1/2)x1-1/3)x1-1/4)x......(1-1/10)
d)2/7x3/9+2/7x2/3
a) 563 x 23 + 23 x 28 - 23
= 23 x (563 + 28 - 1)
= 23 x 600
= 19200
b) \(\frac{7}{11}+\frac{3}{4}+\frac{4}{11}+\frac{1}{4}-1\frac{2}{5}=\left(\frac{7}{11}+\frac{4}{11}\right)+\left(\frac{3}{4}+\frac{1}{4}\right)-\frac{7}{5}=2-\frac{7}{5}=\frac{3}{5}\)
c) \(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times...\times\left(1-\frac{1}{10}\right)=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times....\times\frac{9}{10}\)
\(=\frac{1\times2\times3\times...\times9}{2\times3\times4\times...\times10}=\frac{1}{10}\)
d) \(\frac{2}{7}\times\frac{3}{9}+\frac{2}{7}\times\frac{2}{3}=\frac{2}{7}\times\left(\frac{3}{9}+\frac{2}{3}\right)=\frac{2}{7}\times1=\frac{2}{7}\)
a ) \(563\cdot23+23\cdot28-23\)
\(=23\cdot\left(563+28-1\right)\)
\(=23\cdot600\)
\(=19200\)
b ) \(\frac{7}{11}+\frac{3}{4}+\frac{4}{11}+\frac{1}{4}-1\frac{2}{5}=\left(\frac{7}{11}+\frac{4}{11}\right)+\left(\frac{3}{4}+\frac{1}{4}\right)-\frac{7}{5}=2-\frac{7}{5}=\frac{3}{5}\)
c ) \(\left(1-\frac{1}{2}\right)\cdot\left(1-\frac{1}{3}\right)\cdot\left(1-\frac{1}{4}\right)\cdot...\cdot\left(1-\frac{1}{10}\right)=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot...\cdot\frac{9}{10}\)
\(=\frac{1\cdot2\cdot3\cdot...\cdot9}{2\cdot3\cdot4\cdot...\cdot10}=\frac{1}{10}\)
d ) \(\frac{2}{7}\cdot\frac{3}{9}+\frac{2}{7}\cdot\frac{2}{3}=\frac{2}{7}\cdot\left(\frac{3}{9}+\frac{2}{3}\right)=\frac{2}{7}\cdot1=\frac{2}{7}\)
a,1/3 .(x-2/5)=3/4 b, 7/3:(x-2/3)=4/5 c,1/3.(x-2/5)=4/5 d, 2/3.(x-1/2)-1/4.(x-2/5)=7/3 e,3/7 .(x-2/3)+1/2=5/4.(x-2) f,1/2.(x-3)+1/3.(x-4)+1/4.(x-5)=1/5 g,[2/3.(x-1/2)-4/5]:(x-1/3)=21/5 h, {x-[1/2.(x-3)+11/5]}:(x-1/2)=3/5 i,x.(x-2/5)-(x+2).x+11/4=4/3
a: =>x-2/5=3/4:1/3=3/4*3=9/4
=>x=9/4+2/5=45/20+8/20=53/20
b: =>x-2/3=7/3:4/5=7/3*5/4=35/12
=>x=35/12+2/3=43/12
c: 1/3(x-2/5)=4/5
=>x-2/5=4/5*3=12/5
=>x=12/5+2/5=14/5
d: =>2/3x-1/3-1/4x+1/10=7/3
=>5/12x-7/30=7/3
=>5/12x=7/3+7/30=77/30
=>x=77/30:5/12=154/25
e: \(\Leftrightarrow x\cdot\dfrac{3}{7}-\dfrac{2}{7}+\dfrac{1}{2}-\dfrac{5}{4}x+\dfrac{5}{2}=0\)
=>\(x\cdot\dfrac{-23}{28}=\dfrac{2}{7}-3=\dfrac{-19}{7}\)
=>x=19/7:23/28=76/23
f: =>1/2x-3/2+1/3x-4/3+1/4x-5/4=1/5
=>13/12x=1/5+3/2+4/3+5/4=257/60
=>x=257/65
i: =>x^2-2/5x-x^2-2x+11/4=4/3
=>-12/5x=4/3-11/4=-17/12
=>x=17/12:12/5=85/144