PHÂN TÍCH THÀNH NHÂN TỬ.
1) 2a + 2b 5) 3a2x - 6a2y + 12a 9) 144a2 - 81
2) 2a + 4b + 6c 6) 4ax - 2ay - 2 10) 25a2 - \(\dfrac{1}{4}\)b2
3) -7a - 14ab - 21b 7) a2 - 4b2 11) 49a2 - ( 2a - b)2
4) 2ax - 2ay + 2a 8) 25a2 - 1 12) (4a + 3b)2-(b - 2a)2
Phân tích các đa thức sau thành phân tử(phương pháp đặt thừa số chung)
1, 2a+2b 2, 2a-2b 3, 2a+4b-6c 4, 3a-6b-9c
5, -4a-8b-12c 6, -5x-10xy-15y 7, -7a-14ab-21b 8, 6xy-12x-18y
9, 8xy-24y+16x 10, 9ab-18a+9 11,xy-x 12, ax+a
13, mx+my+m 14,-ax-ay-a 15, -ax2-ax-a 16, -2ax-4ay
17,2ax-2ay+2a 18, 4ax-2ay-2 19, 5a-10ax-15a 20, -2a2b-4ab2-6ab
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)
Phân tích các đa thức sau thành phân tử( phương pháp đặt thừa số chung)
1, 2a+2b
2, 2a-2b
3, 2a+4b-6c
4, 3a-6b-9c
5, xy-x
6, -5x-10xy-15y
7, -7a-14ab-21b
8, 6xy-12x-18y
9, 8xy-24y+16x
10, 9ab-18a+9
11, ax+a
12, mx+my+m
13, -ax-ay-a
14, -2ax-4ay
15, 2ax-2ay+2a
16, 4ax-2ay-2
17, 5a-10ax-15a
18, 5ax-15ay+20a
19, 3a2x-6a2y+12a
20, 2axy-4a2xy2+6a3x2
CÁC BẠN ƠI GIÚP MIK VS MIK CẦN GẤP LẮM
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 )
phân tích thành nhân tử
1) a^2+b^2+2a-2b-2ab
2)4a^2-4b^2-4a+1
3)a^3+6a^2+12a+8
MÌNH CẦN GẤP CÁC BN CỐ GẮNG GIÚP MÌNH NHA!!!
1) a^2 + b^2 + 2a - 2b - 2ab = (a^2 - 2ab + b^2) + (2a-2b) = (a-b)^2 + 2(a-b) = (a-b)(a-b+2)
2) 4a^2 - 4b^2 - 4a + 1 = ( 4a^2 - 4a +1) - 4b^2 = (2a-1)^2 - 4b^2 = (2a-1-2b)(2a-1+2b)
3) a^3+6a^2+12a+8= (a^3+8)+(6a^2+12a)= (a+2)(a^2-2a+4)+6a(a+2)=(a+2)(a^2-2a+4+6a)=(a+2)(a^2+4a+4)=(a+2)(a+2)^2=(a+2)^3
Phân tích đa thức thành nhân tử ( nhóm nhiều hạng tử )
a) ax - 2x - a2 + 2a
b) x2 + x - ax - a
c) 2x2 + 4ax + x + 2a
d) 2xy - ax + x2 - 2ay
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) \(ax-2x-a^2+2a=\left(ax-2x\right)-\left(a^2-2a\right)\)
\(=x\left(a-2\right)-a\left(a-2\right)=\left(x-a\right)\left(a-2\right)\)
b) \(x^2+x-ax-a=\left(x^2+x\right)-\left(ax+a\right)\)
\(=x\left(x+1\right)-a\left(x+1\right)=\left(x-a\right)\left(x+1\right)\)
c) \(2x^2+4ax+x+2a=\left(2x^2+x\right)+\left(4ax+2a\right)\)
\(=x\left(2x+1\right)+2a\left(2x+1\right)=\left(x+2a\right)\left(2x+1\right)\)
d) \(2xy-ax+x^2-2ay=\left(2xy-2ay\right)+\left(x^2-ax\right)\)
\(=2y\left(x-a\right)+x\left(x-a\right)=\left(2y-x\right)\left(x-a\right)\)
Hok tốt
Bài 1 :Phân tích đa thức thành nhân tử
a)25a2-1 b)a2-9
c)1/4a2-9/25 d)9/4a4-16/25
e)(2a+b)2-a2 f)16(x-1)2-25(x+y)2
e) 9/4a2 -16/25
a) \(25a^2-1=\left(5a-1\right)\left(5a+1\right)\)
b) \(a^2-9=\left(a-3\right)\left(a+3\right)\)
c) \(\dfrac{1}{4}a^2-\dfrac{9}{25}=\left(\dfrac{1}{2}a-\dfrac{3}{5}\right)\left(\dfrac{1}{2}a+\dfrac{3}{5}\right)\)
d) \(\dfrac{9}{4}a^4-\dfrac{16}{25}=\left(\dfrac{3}{2}a^2-\dfrac{4}{5}\right)\left(\dfrac{3}{2}a^2+\dfrac{4}{5}\right)\)
e) \(\left(2a+b\right)^2-a^2=\left(2a+b-a\right)\left(2a+b+a\right)=\left(a+b\right)\left(3a+b\right)\)
f) \(16\left(x-1\right)^2-25\left(x+y\right)^2=\left(4x-4-5x-5y\right)\left(4x-4+5x+5y\right)=\left(-x-4-5y\right)\left(9x+5y-4\right)\)
a/ $25x^2-1\\=(5x)^2-1^2\\=(5x-1)(5x+1)$
b/ $a^2-9\\=a^2-3^2\\=(a-3)(a+3)$
c/ $\dfrac{1}{4}a^2-\dfrac{9}{25}\\=\left(\dfrac{1}{2}a\right)^2-\left(\dfrac{3}{5}\right)^2\\=\left(\dfrac{1}{2}a-\dfrac{3}{5}\right)\left(\dfrac{1}{2}a+\dfrac{3}{5}\right)$
d/ $\dfrac{9}{4}a^4-\dfrac{16}{25}\\=\left(\dfrac{3}{2}a^2\right)^2-\left(\dfrac{4}{5}\right)^2\\=\left(\dfrac{3}{2}a^2-\dfrac{4}{5}\right)\left(\dfrac{3}{2}a^2+\dfrac{4}{5}\right)\\=\left[\left(\sqrt{\dfrac 3 2}a\right)^2-\left(\dfrac{2\sqrt 5}{5}\right)^2\right]\left(\dfrac{3}{2}a^2+\dfrac{4}{5}\right)\\=\left(\sqrt{\dfrac 3 2}a-\dfrac{2\sqrt 5}{5}\right)\left(\sqrt{\dfrac 3 2}a+\dfrac{2\sqrt 5}{5}\right)\left(\dfrac{3}{2}a^2+\dfrac{4}{5}\right)$
e/ $(2a+b)^2-a^2\\=(2a+b-a)(2a+b+a)\\=(a+b)(3a+b)$
f/ $16(x-1)^2-25(x+y)^2\\=[4(x-1)]^2-[5(x-y)]^2\\=[4(x-1)-5(x-y)][4(x-1)+5(x-y)]\\=[4x-4-5x+5y][4x-4+5x-5y]\\=(-x+5y-4)(9x-5y-4)$
phân tích các đa thức sau thành nhân tử giải chi tiết
a) 2a-4b
b) 3a-6b+4c
c) 2ax-2ay+2a
d) 5x^2 (x-7x+4y)(7-x)
e) 3xy(x-4)-9x(4-x)
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
phân tích các đa thức sau thành nhân tử giải chi tiết
a) 2a-4b
b) 3a-6b+4c
c) 2ax-2ay+2a
d) 5x^2 (x-7x+4y)(7-x)
e) 3xy(x-4)-9x(4-x)
phân tích các đa thức sau thành nhân tử :
a) 2a+2b
b) 2a-4b
c) 2a+4b-6c
d) 3a-6b+9c
e) -4a-8b-12c
f) -5x-10xy-15y
g) -7a-14ab-21b
h) 6xy-12x-18y
k) 8xy-24y+16x
n) 9ab-18a+9
giải hộ mình ạ mình đang cần gấp
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)
Phân tích đa thức thành nhân tử 2x\(^2\)+4ax+x+2a
\(2x^2+4ax+x+2a\)
\(=2x\left(x+2a\right)+\left(x+2a\right)\)
\(=\left(x+2a\right)\left(2x+1\right)\)