PP nhóm
1)x^4+x^3+x+1
2)x^4-x^3-x+1
3)x^2y+xy^2-x-y
4)ax^2+ay-bx^2-by
phân tích cac da thuc sau thanh nhan tu:
a) x^3-2x^2 +2x -13
b) x^2y+xy +x +1
c) ax+by+ay+bx
d) x^2 -(a+b)x +ab
e) x^2y +xy^2 -x-y
f) ax^2 +ay-bx^2-by
bn post nhiều nên mình ghi đáp án thôi nhé phần nào sai đề mình cho qua
b)\(\left(x+1\right)\left(xy+1\right)\)
c)\(\left(a+b\right)\left(x+y\right)\)
d)\(\left(x-a\right)\left(x-b\right)\)
e)\(\left(x+y\right)\left(xy-1\right)\)
f)\(\left(a-b\right)\left(x^2+y\right)\)
Phân tích đa thức thành nhân tử
1: ax+ay-4x-4y
2: x^2+ab+ax+bx
3: ax+a-bx-b+cx+c
4: ab(x^2+y^2)+xy(a^2+b^2)
5: ab(x^2+1)+x(a^2+b^2)
6: x^2-2xy+y^2-4
7: x^2-y^2+4x+4
8: x^2-2xy+y^2-1
9: 9-x^2-2xy-x^2
10: 25-x^2+4xy-4y^2
11: x^2+xy+xz-x-y-z
12: x^2-2xy+3xz+x-2y+3z
13: 4x^2-9y^2-4x-6y
14: x^3-y^3+2x^2-2y^2
15: x^2+y^2+2xy+yz+zx
16: x^3+y^3+x^2y+xy^2+xz^2+yz^2
Mọi người vào giải hộ em với, em đang cần gấp ạ :))
1: \(=a\left(x+y\right)-4\left(x+y\right)=\left(x+y\right)\left(a-4\right)\)
2: \(=x\left(x+b\right)+a\left(x+b\right)=\left(x+b\right)\left(x+q\right)\)
3: \(=a\left(x+1\right)-b\left(x+1\right)+c\left(x+1\right)\)
\(=\left(x+1\right)\left(a-b+c\right)\)
6: \(=\left(x-y\right)^2-4=\left(x-y-2\right)\left(x-y+2\right)\)
phân tích các đa thức thành nhân tử bằng cách nhóm nhiều hạng tử:
a)x3-2x2+2x-13
b)x2y+xy+x+1
c) ax+by+ay+bx
d)x2-(a+b)x+ab
e) x2y+xy2-x-y
f)ax2+ay-bx2-by
Phân tích các đa thức sau thành nhân tử:
a) x3 - 2x2 + 2x -13
b) x2y + xy + x + 1
c) ax + by + ay + bx
d) x2 -(a+b)x + ab
e) x2y + xy2 - x - y
f) ax2 + ay - bx2 - by
a) bạn ktra lại đề
b) \(x^2y+xy+x+1=xy\left(x+1\right)+\left(x+1\right)=\left(xy+1\right)\left(x+1\right)\)
c) \(ax+by+ay+bx=a\left(x+y\right)+b\left(x+y\right)=\left(a+b\right)\left(x+y\right)\)
d) \(x^2-\left(a+b\right)x+ab=x^2-ax-bx+ab=x\left(x-a\right)-b\left(x-a\right)=\left(x-a\right)\left(x-b\right)\)
e) \(x^2y+xy^2-x-y=xy\left(x+y\right)-\left(x+y\right)=\left(xy-1\right)\left(x+y\right)\)
f) \(ax ^2+ay-bx^2-by=x^2\left(a-b\right)+y\left(a-b\right)=\left(a-b\right)\left(x^2+y\right)\)
\(x^2y+xy+x+1\)
\(=xy\left(x+1\right)+\left(x+1\right)\)
\(=\left(x+1\right)\left(xy+1\right)\)
hk tốt
^^
1,\(\left(x+3\right)^2-\left(2x-5\right)\left(x+3\right)\)
2,\(x^2-xy+x-y\)
3,\(x^3+6x^2+9x\)
4,\(x^2y+xy+x+1\)
5,\(ax+by+ay+bx\)
6,\(x^2-\left(a+b\right)x+ab\)
GIÚP MK VS
1/ \(\left(x+3\right)^2-\left(2x-5\right)\left(x+3\right).\)
\(=x^2+6x+9-\left(2x^2+6x-5x-15\right)\)
\(=x^2+6x+9-2x^2-6x+5x+15\)
\(=-x^2+5x+24\)
\(=-\left(x^2-5x-24\right)\)
\(=-\left(x^2-8x+3x-24\right)\)
\(=-\left[x\left(x-8\right)+3\left(x-8\right)\right]\)
\(=-\left(x-8\right)\left(x+3\right)\)
2/ \(x^2-xy+x-y\)
\(=\left(x^2+x\right)-\left(xy+y\right)\)
\(=x\left(x+1\right)-y\left(x+1\right)\)
\(=\left(x-y\right)\left(x+1\right)\)
3/ \(x^3+6x^2+9x\)
\(=x\left(x^2+6x+9\right)\)
\(=x\left(x+3\right)^2\)
1,Bạn tự lm
\(2,x^2-xy+x-y=x\left(x-y\right)+\left(x-y\right)=\left(x-1\right)\left(x+1\right)\)
\(3,x^3+6x^2+9x=x\left(x^2+6x+9\right)=x\left(x+3\right)^2\)
\(4,x^2y+xy+x+1=xy\left(x+1\right)+\left(x+1\right)=\left(x+1\right)\left(xy+1\right)\)
\(5,ax+by+ay+bx=\left(ax+ay\right)+\left(by+bx\right)=a\left(x+y\right)+b\left(y+x\right)=\left(x+y\right)\left(a+b\right)\)
\(6,x^2-\left(a+b\right)x+ab=x^2-ax-bx+ab=\left(x^2-bx\right)-\left(ax-ab\right)=x\left(x-b\right)-a\left(x-b\right)=\left(x-b\right)\left(x-a\right)\)
1, (x+3)2-(2x-5)(x+3)
<=>(x+3)(x+3-2x+5)
<=>(x+3)(-x+8)
2, x2-xy+x-y
<=>x(x-y)+(x-y)
<=>(x-y)(x+1)
3, x3+6x2+9x
<=>x(x2+6x+9)
<=>x(x+3)2
phân tích các đa thức sau thành nhân tử
xy +1 -x -y
y +z -1 -yz
ax +ay -bx -by
ax -ay -bx +by
2x^2 -4xy +2y^2 -32
5x^2 -5y^2 -x +y
x^2 +6x +8
x^2 -9x +8
Phân tích các đa thức sau thành nhân tử
1) x\(^3\) - 2x\(^2\)+2x-13
2) x\(^2\)y+xy+x+1
3) ax+by+ay+bx
4) x\(^2\) -(a+b)x+ab
5) x\(^2\)y+xy\(^2\)-x-y
6) ax\(^2\) +ay-bx\(^2\)-by
7) x\(^2\)-2x-4y\(^2\)-4y
8) x\(^4\)+2x\(^3\) -4x-4
9) x\(^3\) +2x\(^2\)y -x-2y
10) 3x\(^2\)-3y\(^2\)-2(x-y)\(^2\)
11) x\(^3\) -4x\(^2\) -9x+36
12) x\(^2\) -y\(^2\)-2x-2y
Câu 1) xem lại đề giùm đi em.
1/ \(ab+b\sqrt{a}+\sqrt{a}+1\)
2/ \(\sqrt{x^3}-\sqrt{y^3}+\sqrt{x^2y}-\sqrt{xy^2}\)
3/ \(xy-y\sqrt{x}+\sqrt{x}-1\)
4/\(\sqrt{ax}-\sqrt{by}+\sqrt{bx}-\sqrt{ay}\)
5/ \(\sqrt{a+b}+\sqrt{a^2+b^2}\)
6/\(12-\sqrt{x}-x\)
b)x^2y+xy^2-x-y
c)ax^2+ay-bx^2-by
d)x(x+1)^2+x(x-5)-5(x-1)^2
`b, x^2y + xy^2 - x - y = xy(x+y)-(x+y)`
`= (xy-1)(x+y)`
`c, ax^2 +ay - bx^2-by`
`= x^2(a-b) + y(a-b)`
`= (x^2+y)(a-b)`
`b,x^2y+xy^2-x-y=xy(x+y)-(x+y)=(xy-1)(x+y)`
`c,ax^2+ay-bx^2-by=x^2(a-b)+y(a-b)=(x^2+y)(a-b)`
`d,x(x+1)^2+x(x-5)-5(x-1)^2=x(x^2+2x+1)+x^2-5x-5(x^2-2x+1)=x^3+2x^2+x+x^2-5x-5x^2+10x-5=x^3-2x^2+6x-5=x^2(x-1)-x(x-1)+5(x-1)=(x^2-x+5)(x-1)`