2x3=... 8-4=... 4x10=...
5x1=... 2x9=... 5x2=...
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a) 4 x 5 - 4 x 2 + 4
= 4 x 5 - 4 x 2 + 4 x 1
= 4 x ( 5 - 2 + 1 )
= 4 x 4
= 16
b) 2 x 3 + 9 + 3 x 3
= 2 x 3 + 3 x 3 + 3 x 3
= 3 x ( 2 + 3 + 3 )
= 3 x 8
= 24
c) 2 + 2 x 9
= 2 x 1 + 2 x 9
= 2 x ( 1 + 9 )
= 2 x 10
= 20
a) 4 x 5 - 4 x 2 + 4
= 4 x 5 - 4 x 2 + 4 x 1
= 4 x ( 5 - 2 + 1 )
= 4 x 4
= 16
b) 2 x 3 + 9 + 3 x 3
= 2 x 3 + 3 x 3 + 3 x 3
= 3 x ( 2 + 3 + 3 )
= 3 x 8
= 24
c) 2 + 2 x 9
= 2 x 1 + 2 x 9
= 2 x ( 1 + 9 )
= 2 x 10
= 20
Đáp án đây nhé
\(A=\dfrac{5x_1-x_2}{x_1}+\dfrac{5x_2-x_1}{x_2}\)
\(=\dfrac{5x_1\cdot x_2-x_2^2+5x_1x_2-x_1^2}{x_1x_2}\)
\(=\dfrac{10x_1x_2-\left[\left(x_1+x_2\right)^2-2x_1x_2\right]}{x_1x_2}\)
\(=\dfrac{10\cdot4-\left[5^2-2\cdot4\right]}{4}=\dfrac{40-25+8}{4}=\dfrac{23}{4}\)
\(A=x^5-5x^4+5x^3-5x^2+5x\)
\(=x^5-\left(x+1\right)x^4+\left(x+1\right)x^3-\left(x+1\right)x^2+\left(x+1\right)x\)
\(=x^5-x^5-x^4+x^4+x^3-x^3-x^2+x^2+x\)
\(=x\)
\(=4\)
2 x 1 = 2 | 3 x 1 = 3 | 4 x 1 = 4 | 5 x 1 = 5 |
2 x 2 = 4 | 3 x 2 = 6 | 4 x 2 = 8 | 5 x 2 = 10 |
2 x 3 = 6 | 3 x 3 = 9 | 4 x 3 = 12 | 5 x 3 = 15 |
2 x 4 = 8 | 3 x 4 = 12 | 4 x 4 = 16 | 5 x 4 = 20 |
2 x 5 = 10 | 3 x 5 = 15 | 4 x 5 = 20 | 5 x 5 = 25 |
2 x 6 = 12 | 3 x 6 = 18 | 4 x 6 = 24 | 5 x 6 = 30 |
2 x 7 = 14 | 3 x 7 = 21 | 4 x 7 = 28 | 5 x 7 = 35 |
2 x 8 = 16 | 3 x 8 = 24 | 4 x 8 = 32 | 5 x 8 = 40 |
2 x 9 = 18 | 3 x 9 = 27 | 4 x 9 = 36 | 5 x 9 = 45 |
2 x 10 = 20 | 3 x 10 = 30 | 4 x 10 = 40 | 5 x 10 = 50 |
2x1=2 3x1=3 4x1=4 5x1=5 2:2= 1 3:3= 1 4:4=1 5:5=1
2x2= 4 3x2=6 4x2= 8 5x2=10 4:2= 2 6:3= 2 8:4=2 10:5=2
2x3=6 3x3= 9 4x3=12 5x3=15 6:2=3 9:3= 3 12:4=3 15:5=3
2x4=8 3x4=12 4x4=16 5x4=20 8:2=4 12:3=4 16:4=4 20:5=4
2x5=10 3x5= 15 4x5= 20 5x5= 25 10:2=5 15:3= 5 20:4=5 25:5=5
2x6=12 3x6=18 4x6= 24 5x6=30 12:2=6 18:3= 6 24:4=6 30:5=6
2x7= 14 3x7=21 4x7= 28 5x7=35 14:2=7 21:3=7 28:4=7 35:5=7
2x8=16 3x8=24 4x8= 32 5x8=50 16:2=8 24:3=8 32:4=8 40:5=8
2x9= 18 3x9= 27 4x9= 36 5x9=45 18:2=9 27:3= 9 36:9=9 45:5=9
2x10=20 3x10=30 4x10= 40 5x10=50 20:2=10 30:3=10 40:4= 10 50:5=10
b: \(\left(x^2+10x+8\right)^2-\left(8x+4\right)\left(x^2+8x+7\right)\)
\(=\left\lbrack\left(x^2+8x+7\right)+\left(2x+1\right)\right\rbrack^2-4\left(2x+1\right)\left(x^2+8x+7\right)\)
\(=\left(x^2+8x+7\right)^2+2\left(x^2+8x+7\right)\left(2x+1\right)+\left(2x+1\right)^2-4\left(2x+1\right)\left(x^2+8x+7\right)\)
\(=\left(x^2+8x+7\right)^2-2\left(x^2+8x+7\right)\left(2x+1\right)+\left(2x+1\right)^2\)
\(=\left(x^2+8x+7-2x-1\right)^2=\left(x^2+6x+6\right)^2\)
d: \(B=x^4+4x^3+8x^2+8x+4\)
\(=x^4+2x^3+2x^2+2x^3+4x^2+4x+2x^2+4x+4\)
\(=x^2\left(x^2+2x+2\right)+2x\left(x^2+2x+2\right)+2\left(x^2+2x+2\right)\)
\(=\left(x^2+2x+2\right)\left(x^2+2x+2\right)=\left(x^2+2x+2\right)^2\)
e: \(C=x^4-2x^3+5x^2-4x+4\)
\(=x^4-x^3+2x^2-x^3+x^2-2x+2x^2-2x+4\)
\(=x^2\left(x^2-x+2\right)-x\left(x^2-x+2\right)+2\left(x^2-x+2\right)=\left(x^2-x+2\right)\left(x^2-x+2\right)\)
\(=\left(x^2-x+2\right)^2\)
6: \(\left(2x^3-5x^2+6x-15\right):\left(2x-5\right)\)
\(=\frac{x^2\left(2x-5\right)+3\left(2x-5\right)}{2x-5}\)
\(=\frac{\left(2x-5\right)\left(x^2+3\right)}{2x-5}=x^2+3\)
2: \(\frac{2x^4-5x^2+x^3-3-3x}{x^2-3}\)
\(=\frac{2x^4-6x^2+x^3-3x+x^2-3}{x^2-3}\)
\(=\frac{2x^2\left(x^2-3\right)+x\cdot\left(x^2-3\right)+\left(x^2-3\right)}{x^2-3}=2x^2+x+1\)
5: \(\left(2x^3+5x^2-2x+3\right):\left(2x^2-x+1\right)\)
\(=\frac{2x^3-x^2+x+6x^2-3x+3}{2x^2-x+1}=\frac{\left(2x^2-x+1\right)\left(x+3\right)}{2x^2-x+1}\)
=x+3
3: \(\left(x-y-z\right)^5:\left(x-y-z\right)^3=\left(x-y-z\right)^{5-3}=\left(x-y-z\right)^2\)
1: \(\left(x^3-3x^2+x-3\right):\left(x-3\right)\)
\(=\frac{x^2\left(x-3\right)+\left(x-3\right)}{x-3}=x^2+1\)
1: Sửa đề: 3x-5
\(=\dfrac{-x^2\left(3x-5\right)-3\left(3x-5\right)}{3x-5}=-x^2-3\)
2: \(=\dfrac{5x^4-5x^3+14x^3-14x^2+12x^2-12x+8x-8}{x-1}\)
=5x^2+14x^2+12x+8
3: \(=\dfrac{5x^3+10x^2+4x^2+8x+4x+8}{x+2}=5x^2+4x+4\)
4: \(=\dfrac{\left(x^2-1\right)\left(x^2+1\right)-2x\left(x^2-1\right)}{x^2-1}=x^2+1-2x\)
5: \(=\dfrac{x^2\left(5-3x\right)+3\left(5-3x\right)}{5-3x}=x^2+3\)
\(2\times3=6\)
\(8-4=4\)
\(4\times10=40\)
\(5\times1=5\)
\(2\times9=18\)
\(5\times2=10\)
2x3=6 8-4=4 4x10=40
5x1=5 2x9=18 5x2=10