1) a^2-b^2-5a+5b
2) x^2-6xy-25+9y^2
3) 49-y^2-x^2+2xy
8x^3-16x^2y+8xy^2
2) 3x^2+6xy+3y^2-3z^2
3)x^3+x^2y-9x-9y
4) x^2-y^2+3x+3y
5) 5a^2+5b^2-5c^2+10ab
tôi biết ông là ai,đừng có mà giỡn như vậy!
Phân tích đa thức thành nhân tử hả?
1) 8x^3-16x^2y+8xy^2
=8x(x^2-2xy+y^2)
=8x(x-y)^2
2) 3x^2+6xy+3y^2-3z^2
=3(x^2+2xy+y^2-z^2)
=3[(x+y)^2-z^2]
=3(x+y+z)(x+y-z)
Phân tích đa thức thành nhân tử
x^2-2xy+y^2-2x+2y
x^2-4x+4-x^2y+2xy
ax^2-3axy-x^2+6xy-9y^2
2a^2x-5a^2y-4x^2+30xy-25y^2
a) Ta có: \(x^2-2xy+y^2-2x+2y\)
\(=\left(x-y\right)^2-2\left(x-y\right)\)
\(=\left(x-y\right)\left(x-y-2\right)\)
b) Ta có: \(x^2-4x+4-x^2y+2xy\)
\(=\left(x-2\right)^2-xy\left(x-2\right)\)
\(=\left(x-2\right)\left(x-2-xy\right)\)
c) Ta có: \(ax^2-3axy-x^2+6xy-9y^2\)
\(=ax\left(x-3y\right)-\left(x^2-6xy+9y^2\right)\)
\(=ax\left(x-3y\right)-\left(x-3y\right)^2\)
\(=\left(x-3y\right)\left(ax-x+3y\right)\)
d) Ta có: \(2a^2x-5a^2y-4x^2+30xy-25y^2\)
\(=a^2\left(2x-5y\right)-\left(4x^2-30xy+25y^2\right)\)
\(=a^2\left(2x-5y\right)-\left(2x-5y\right)^2\)
\(=\left(2x-5y\right)\left(a^2-2x+5y\right)\)
a.2xy^2-4 b.x^2+x-y^2+y c.x^2y-6xy-9y d.x^2+4x+3
\(a,=2\left(xy^2-2\right)\\ b,=\left(x-y\right)\left(x+y\right)+\left(x+y\right)=\left(x-y+1\right)\left(x+y\right)\\ c,=y\left(x^2-6x-9\right)\\ d,=x^2+3x+x+3=x\left(x+3\right)+\left(x+3\right)=\left(x+1\right)\left(x+3\right)\)
37. Phân tích đa thưc 2x^3y - 2xy^3 - 4xy^2 - 2xy thành nhân tử ta đc:
A. 2xy (x-y-1) (x+y-1)
B. 16x - 54y^3 = 2(2x-3y) (4x^2 + 6xy + 9y^2)
C. 16x^3 - 54y = 2(2x - 3y) (2x + 3y) ^2
D. 16x^4 (x-y) - x + y = (4x^2 -1) (4x^2 + 1) (x-y)
\(2x^3y-2xy^3-4xy^2-2xy\)
\(=2xy.\left(x^2-y^2-2y-1\right)\)
\(=2xy.[x^2-\left(y^2+2y+1\right)]\)
\(=2xy.[x^2-\left(y+1\right)^2]\)
\(=2xy.\left(x+y+1\right).\left(x-y-1\right)\)
Vậy chọn đáp án A
a)x^3+2x^2-3x-6
b)x^2-9-9y^2-6xy
c)a^2+b^2-x^2-y^2+2ab-2xy
d)(x-y)^3-1-x(x-y)(x-y-1)
e)6x^2-150y^2+60y-6
các bạn làm câu nào cũng được
a) x3+ 2x2 - 3x - 6
= (x3 + 2x2) + (-3x - 6)
= x2 (x + 2) - 3(x + 2)
= (x + 2) (x2 - 3)
b) x2 - 9 - 9y2 - 6xy
bó tay câu b) chưa hok!! mới hok phân tích thành nhân tử cùng biến ak!!
4767657567887685464564565567876869834525364564565576565765345
a) x^2 + y^2 -25 +2xy
b) a ^2- 2a -4b^2-4b
c)a^2-b^2-5a-5b
phan tich da thuc thanh nhan tu
\(a,=\left(x+y\right)^2-5^2=\left(x+y+5\right)\left(x+y-5\right)\)
\(b,=\left(a-1\right)^2-1-\left(2b+1\right)^2-1=\)
\(c,=\left(a-b\right)\left(a+b\right)-5\left(a+b\right)=\left(a+b\right)\left(a-b-5\right)\)
a,( x2 + 2xy + y2 ) -25
=( x + y )2 - 52
=( x + y + 5) ( x + y - 5)
b,
Rút gọn biểu thức :
a, A = ( x - y ) ( x^2 + xy + y^2 ) - ( x + y ) ( x^2 - xy + y^2 )
b, B = ( a^2b^2 - 5a ) ( a^4 + b^4 + 5a^3b^2 + 25d^2 )
c, C = ( 2x + 3y ) ( 4x^2 - 6xy + 9y^2 )
d, D = ( y + 2 ) ( y^2 - 2y + 4 )
a) 2x2y - 6xy2
b) 3x . (x - 1)+ 7x2. (x - 1)
c) 3x . (x - a) + 5a.(a - x)
d) x2 - 6xy + 9y2
e) 125x3 + y6
f) 5xy2 - 10xyz + 5xz2
g) x2 - 2xy + y2 - x2 + yz
h) x2 - x - 6
i) x4 + 4x2 + 5
a.2x2y-6xy2
=2xy(x-3y)
b.3x(x-1)+7x2(x-1)
=(x-1)(3x+7x2)
c.3x(x-a)+5a(a-x)
=3x(x-a)-5a(x-a)
=(x-a)(3x-5a)
d.x2+6xy+y2
=(x-y)2
e.125x3+y6
=(5x)3+(y2)3
=(5x+y2)(10x2-5xy+y4)
f.5x2y-10xyz+5xz2
=5x(y2-2yz+z2)
=5x(y-z)2
g.x2-2xy+y2-x2+yz
=(x-y)2-x2+yz
=(x-y-x)(x-y+x)+yz
h.x2-x-6
=(x2)-2x-3x-6
=x(x-2)-3(x-2)
=(x-2)(x-3)
i.x4+4x2+5
=(x2)2+4x2+5
=(x2)2+4x2+2-2+5
=(x2+2)2-3
nhung bai nay de lam bn cu thay thua so chung la nhom thui, bn xem mk lam rui lam tip nhe
a) = 2xy(x - 3y)
b) = (x-1)(3x+7x2) = x(3+7x)(x-1)
c) = (x-a)(3x-5a) bn đổi + 5a(a-x) = -5a(x-a)
................................
Tìm giá trị nhỏ nhất:
a. x2+y2-2xy+x-y-2016
b. 2x2+9y2+3z2+6xy-2xz+6yz+2017
c.(x+1)(x+2)(x+3)(x+4)+15