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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 )
a) =2(a+b)
b) =2(a-2b)
c) =2(a+2b-3c)
d) =3(a-2b+3c)
e)= -4(a+2b+3c)
f) =-5(x+2xy+3y)
g) =-7(a+2ab+3b)
h) = 6(xy-2x-3y)
k) = 8(xy-3y+2x)
n)=9(ab-2a+1)
1) \(-4a-8b-12c=-4\cdot\left(a+2b+3c\right)\)
2) \(9ab-18a+9=9\cdot\left(ab-2a+1\right)\)
3) \(-ax^2-ax-a=-a\left(x^2+x+1\right)\)
4) \(-2a^2b-4ab^2-6ab=-2ab\left(a+2b+3\right)\)
5) \(mxy-m^2x+my=m\left(xy-mx+y\right)\)
6) \(12x^3y-6xy+3x=3x\left(4x^2y-2y+1\right)\)
7) \(mx\left(a+b\right)-m\left(a+b\right)=m\left(a+b\right)\left(x-1\right)\)
8) \(x^{m+2}-x^{m+1}=x^{m+1}\left(x-1\right)\)
9) \(5x^2y\left(x-7\right)-5xy\left(7-x\right)=5x^2y\left(x-7\right)+5xy\left(x-7\right)=5xy\left(x-7\right)\left(x+1\right)\)
1) -4a - 8b - 12c = -4 ( a + 2b + 3c)
2) 9ab - 18a + 9 = 9 ( ab - a +1 )
3) -ax2 - ax - a = -a ( x2 + x + 1)
4) - 2a2b - 4ab2 - 6ab = -2ab ( a + 2b + 3 )
5)mxy - m2x + my = m ( xy - mx + y )
6)12x3y - 6xy + 3x = 3x ( 4x2y - 2y + 1 )
7) mx ( a+ b) - m (a+b) = (a+b) ( mx-m ) = m ( a+b)(x-1)
8) xm+2 - xm+1 = xm + 1 (x -1 )
9) 5x2y ( x-7 ) - 5xy ( 7 -x )
= 5x2y ( x -7 ) + 5xy ( x-7 )
= 5xy ( x +1 ) (x-7)
\(1,2x^2-6xy+5x-15y\)
\(=2x\left(x-3y\right)+5\left(x-3y\right)\)
\(=\left(x-3y\right)\left(2x+5\right)\)
\(2,ax^{2\:}-3axy+bx-3by\)
\(=ax\left(x-3y\right)+b\left(x-3y\right)\)
\(=\left(x-3y\right)\left(ax+b\right)\)
\(3,5ax^2-3axy+3ay^2-3axy\) ( Đề sai )
Sửa : \(3ax^2-3axy+3ay^2-3axy\)
\(=3ax\left(x-y\right)+3ay\left(y-x\right)\)
\(=3ax\left(x-y\right)-3ay\left(x-y\right)\)
\(=3a\left(x-y\right)^2\)
\(4,4acx+4bcx+4ax+4bx\)
\(=4cx\left(a+b\right)+4x\left(a+b\right)\)
\(=4x\left(a+b\right)\left(c+1\right)\)
\(6,ax^{2\:}y-bx^2y-ax+bx+2a-2b\)
\(=x^2y\left(a-b\right)-x\left(a-b\right)+2\left(a-b\right)\)
\(=\left(a-b\right)\left(x^2y-x+2\right)\)
\(7,ax^{2\:}-bx^2-2ax+2bx-3a+3b\)
\(=x^2\left(a-b\right)-2x\left(a-b\right)-3\left(a-b\right)\)
\(=\left(a-b\right)\left(x^2-2x-3\right)\)
\(8,ax^{2\:}-5x^2-ax+5x+a-5\)
\(=x^2\left(a-5\right)-x\left(a-5\right)+\left(a-5\right)\)
\(=\left(a-5\right)\left(x^2-x+1\right)\)
\(9,ax+bx+cx-2a-2b+2c\) Đề sai
Sửa :\(ax+bx+cx-2a-2b-2c\)
\(=x\left(a+b+c\right)-2\left(a+b+c\right)\)
\(=\left(a+b+c\right)\left(x-2\right)\)
\(10,2ax-bx+3cx-2a+b-3c\)
\(=\left(2ax-2a\right)-\left(bx-b\right)+\left(3cx-3c\right)\)
\(=2a\left(x-1\right)-b\left(x-1\right)+3c\left(x-1\right)\)
\(=\left(x-1\right)\left(2a-b+3c\right)\)
Mấy câu đề sai mk sửa chỗ nào ko đúng thì nói mk nha !
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)
a) ax - 2x - a2 + 2a
= ( ax - 2x ) - ( a2 - 2a )
= x ( a - 2 ) - a ( a - 2 )
= ( a - 2 ) ( x - a )
b) x2 + x - ax - a
= ( x2 + x ) - ( ax + a )
= x ( x + 1 ) - a ( x + 1 )
= ( x + 1 ) ( x - a )
Hok Tốt!!!
a) ax -2x- a2+ 2a
= (ax -2x ) -(a2 -2a )
= x(a-2) -a ( a-2 )
= (x-a) (a-2)
b) x2 +x -ax -a
=( x2 +x ) - ( ax +a )
= x( x+1 ) -a ( x+1 )
= ( x-a ) (x+ 1)
c) 2x2 +4ax +x +2a
=( 2x2 + 4ax ) + ( x+ 2a )
= 2x ( x+ 2a ) + ( x+2a )
= ( 2x +1 ) (x+2a )
d) 2xy -ax +x2 - 2ay
= (2xy -2ay ) + ( -ax + x2 )
= 2y( x-a ) + x ( x-a)
= ( 2y +x ) ( x -a )
A = 4acx + 4bcx + 4ax + 4bx ( đã sửa '-' )
= 4x( ac + bc + a + b )
= 4x[ c( a + b ) + ( a + b ) ]
= 4x( a + b )( c + 1 )
B = ax - bx + cx - 3a + 3b - 3c
= x( a - b + c ) - 3( a - b + c )
= ( a - b + c )( x - 3 )
C = 2ax - bx + 3cx - 2a + b - 3c
= x( 2a - b + 3c ) - ( 2a - b + 3c )
= ( 2a - b + 3c )( x - 1 )
D = ax - bx - 2cx - 2a + 2b + 4c
= x( a - b - 2c ) - 2( a - b - 2c )
= ( a - b - 2c )( x - 2 )
E = 3ax2 + 3bx2 + ax + bx + 5a + 5b
= 3x2( a + b ) + x( a + b ) + 5( a + b )
= ( a + b )( 3x2 + x + 5 )
F = ax2 - bx2 - 2ax + 2bx - 3a + 3b
= x2( a - b ) - 2x( a - b ) - 3( a - b )
= ( a - b )( x2 - 2x - 3 )
= ( a - b )( x2 + x - 3x - 3 )
= ( a - b )[ x( x + 1 ) - 3( x + 1 ) ]
= ( a - b )( x + 1 )( x - 3 )
a \(x\cdot\left(a-2\right)-a\left(a-2\right)\)
\(\left(x-a\right)\cdot\left(a-2\right)\)
b ,\(x\left(x+1\right)-a\left(x+1\right)\)
\(\left(x-a\right)\cdot\left(x+1\right)\)
c ,\(2x\left(x+2a\right)+x+2a\)
(2x+1)(x+2a)
d, 2xy+x^2-ax-2ay
x(2y+x)-a(x+2y)
(x-a)(x+2y)
e, x^2(x+a)+x+a
(x^2+1)(x+a)
f, y^2(y+x^2)+z(x^2+y)
(y^2+z)(y+x^2)
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)