
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.


a) 18a^3b^2-9a^2b^3
=9a^2b^2(2a-b).
b) đề bài sai nha, phải là x^2-6xy+9y^2-36 nha
c) 2x^2-2xy-x+y
= 2x(x-y) - (x-y)
= (2x-1)(x-y).
d) x^2+6x-4y^2+9
= x^2+6x+9 -4y^2
= (x+3)^2- (2y)^2
= (x+3-2y)(x+3+2y).
Chắc chắn đúng 100% nha !!!
a) 18a3b2−9a2b3=9a2b2(2a-b)
c)2x2−2xy−x+y=x(2x-1)-y(2x-1)=(2x-1)(x-y)

a) \(x^2-2xy+y^2-1=\left(x-y\right)^2-1=\left(x-y-1\right)\left(x-y+1\right)\)
b) \(9-x^2-2xy-y^2=9-\left(x^2+2xy+y^2\right)=9-\left(x+y\right)^2=\left(3-x-y\right)\left(3+x+y\right)\)
c) \(25-x^2+4xy-4y^2=25-\left(x^2-4xy+4y^2\right)=25-\left(x-2y\right)^2=\left(5-x+2y\right)\left(5+x-2y\right)\)

a) Áp dụng hằng đằng thức hiệu của 2 bình phương ta có
\(x^2-7=x^2-\left(\sqrt{7}\right)^2=\left(x-\sqrt{7}\right)\left(x+\sqrt{7}\right)\)

=x2-2xy+1-4y2-4y-1
=(x-1)2-(4y2+4y+1)
=(x-1)2-(2y+1)2
=(x-1+2y+1)(x-1-2y-1)
=(x+2y)(x-2y-2)

Lời giải:
$2x^2-2xy-4y^2=2(x^2-xy-2y^2)$
$=2[(x^2-2xy)+(xy-2y^2)]$
$=2[x(x-2y)+y(x-2y)]$
$=2(x+y)(x-2y)$
-----------------
$x^2-2x-4y^2-4y=(x^2-2x+1)-(4y^2+4y+1)$
$=(x-1)^2-(2y+1)^2=(x-1-2y-1)(x-1+2y+1)$
$=(x-2y-2)(x+2y)$
-------------------
$x^2-4y^2-x-2y=(x^2-4y^2)-(x+2y)=(x-2y)(x+2y)-(x+2y)$
$=(x+2y)(x-2y-1)$

\(x^2-7x+12=x^2-3x-4x+12=x\left(x-3\right)-4\left(x-3\right)=\left(x-3\right)\left(x-4\right)\)
\(x^2-2x-3=x^2+x-3x-3=x\left(x+1\right)-3\left(x+1\right)=\left(x+1\right)\left(x-3\right)\)
\(x^2+3x-18=x^2-3x+6x-18=x\left(x-3\right)+6\left(x-3\right)=\left(x-3\right)\left(x+6\right)\)
a,x2-7x+12=(x-4)(x-3)
b,3x2+13x-10=(3x-2)(x+5)
c,x2-2x-3=(x-3)(x+1)
d,x2+3x-18=(x-3)(x+6)

mk làm lun nha
(x-y)^2-3^2
=(x-y-3)(x-y+3)
các câu còn lại tương tự
**** cho mk nha
a)x2-2xy+y2-9
=(x-y)2-32
=(x-y-3)(x-y+3)
b)2x3+4x2y+2xy2
=2x(x2+2xy+y2)
=2x(x+y)2
c)x2-4xy+4y2-36z2
=(x-2y)2-(6z)2
=(x-2y-6z)(x-2y+6z)

x2+4x-2xy-4y+y2
=(x2-2xy+y2)+(4x-4y)
=(x-y)2+4(x-y)
=(x-y)(x-y+4)
\(=2xy+4y^2=2y\left(x+2y\right)\)
x2 - 2xy - x2 + 4y2
= ( x2 - x2 ) - ( 2xy - 4y2 )
= - 2y ( x - 2y )