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a) \(2a-4b=2\left(a-2b\right)\)
c) \(2ax-2ay+2a=2a\left(x-y+1\right)\)
e) \(3xy\left(x-4\right)-9x\left(4-x\right)=3x\left(x-4\right)\left(y+3\right)\)
b,d xem lại đề
1. = 2(a+b)
2. =2(a-b)
3.=2(a+2b-3c)
4.=3(a-2b-3c)
5.=-4(a+2b+3c)
6.=-5(x+2xy+3y)
7.=-7(a+2ab+3b)
8.=6(xy-2x-3y)
9.=8(xy-3y+2x)
10.=9(ab-2a+1)
Lần sau bn cần ghi đề rõ ràng hơn
11.=x(y-1)
12.=a(x+1)
13.=m(x+y+1)
14.=-a(x+y+1)
15.=-a(x2+x+1)
16.=-2a(x+2y)
17.=2a(x-y+1)
18.=2(2ax-ay-2)
19.=5a(1-2x-3)
20.=-2ab(a+2b+3)
1, 2a+2b = 2( a + b )
2, 2a-2b = 2( a - b )
3, 2a+4b-6c = 2( a + 2b - 3c )
4, 3a-6b-9c = 3( a - 2b - 3c )
5, xy-x = x( y - 1 )
6, -5x-10xy-15y = -5( x + 2xy + 3y )
7, -7a-14ab-21b = -7( a + 2ab + 3b )
8, 6xy-12x-18y = 6 ( xy - 2x - 3y )
9, 8xy-24y+16x = 8 ( xy - 3y + 2x )
10, 9ab-18a+9 = 9( ab - 2a + 1 )
11, ax+a = a( x + 1 )
12, mx+my+m = m( x + y + 1 )
13, -ax-ay-a = -a( x + y +1 )
14, -2ax-4ay = -2a( x + 2y )
15, 2ax-2ay+2a = 2a( x - y + 1 )
16, 4ax-2ay-2 = 2( 2ax - a - 1 )
17, 5a-10ax-15a = 5a( 1 - 2x - 3 ) = 5a( -2x - 2 )
18, 5ax-15ay+20a = 5a( x - 3y + 4 )
19, 3a2x-6a2y+12a = 3a( ax - 2ay + 4 )
20, 2axy-4a2xy2+6a3x\(^2\) = 2ax( y - 2ay\(^2\) + 3a\(^2\)x )
\(2ax-bx+3cx-2a+b-3c\\ =x\left(2a-b+3c\right)-\left(2a-b+3c\right)\\ =\left(x-1\right)\left(2a-b+3c\right)\)
\(ax-bx-2cx-2a+2b+4c\\ =x\left(a-b-2c\right)-2\left(a-b-2c\right)\\ =\left(x-2\right)\left(a-b-2c\right)\)
\(3ax^2+3bx^2+ax+bx+5a+5b\\ =3x^2\left(a+b\right)+x\left(a+b\right)+5\left(a+b\right)\\ =\left(3x^2+x+5\right)\left(a+b\right)\)
\(ax^2-bx^2-2ax+2bx-3a+3b\\ =x^2\left(a-b\right)-2x\left(a-b\right)-3\left(a+b\right)\\ =\left(x^2-2x-3\right)\left(a+b\right)\\ =\left(x+1\right)\left(x-3\right)\left(a+b\right)\)
1: 2a+2b=2(a+b)
2: 2a+4b+6c
=2*a+2*2b+2*3c
=2(a+2b+3c)
3: \(-7a-14ab-21b=-7\left(a+2ab+3b\right)\)
4: \(2ax-2ay+2a=2a\left(x-y+1\right)\)
5: \(=3a\cdot ax-3a\cdot2ay+3a\cdot4=3a\left(ax-2ay+4\right)\)
6: \(=2\cdot2ax-2\cdot ay-2\cdot1=2\cdot\left(2ax-ay-1\right)\)
7: =a^2-(2b)^2
=(a-2b)(a+2b)
8: =(5a)^2-1^2
=(5a-1)(5a+1)
9: =9(16a^2-9)
=9(4a-3)(4a+3)
Ta có
x 2 + x – 2 a x – 2 a = x 2 + x - 2 a x + 2 a = x x + 1 – 2 a x + 1 = x – 2 a x + 1
Đáp án cần chọn là: B
\(2ax+2ay-2a=2a\left(x+y-1\right)\)
=2a(x+y-1)