(6xy-3y) - P =-3xy+6x-8y
Phân tích thành phân tử
\(3x^3y-6x^2y-3xy^3-6xy^2z-3xyz^2+3xy\)
đặt 3 xy làm chung nha bn ...
~ hok tốt ~
\(3x^3y-6x^2y-3xy^3-6xy^2z-3xyz^2+3xy\)
\(=3xy\left(x^2-2x-y^2-2yz-x^2+1\right)\)
\(=3xy\left(\left(x^2-2x+1\right)-\left(y^2+2yz+z^2\right)\right)\)
\(=3xy\left(\left(x-1\right)^2-\left(y-z\right)^2\right)\)
\(=3xy\left(x-1+y-z\right)\left(x-1-y+z\right)\)
Phân tích thành nhân tử:
\(3x^3y-6x^2y-3xy^3-6xy^2z-3xyz^2+3xy\)
\(3x^3y-6x^2y-3xy^3-6xy^2z-3xyz^2+3xy\)
\(=3xy\left(x^2-2x-y^2-2yz-z^2+1\right)\)
\(=3xy\left[\left(x-1\right)^2-\left(y+z\right)^2\right]\)
\(=3xy\left(x-1-y-z\right)\left(x-1+y+z\right)\)
Phân tích đa thức sau thành nhân tử
9y^3-y
8y^3-2y(1-2y)^2
2x^3-8x^2+8x
2x^4-6x^3+6x^2-2x
x^3-6x^2y+9xy^2-x
5x^4-15x^3y+15x^2y^2-5xy^3-5x
3x^2+3xy-x-y
6xy-x^2-y^2+25
7m-7n-m^2+2mn-n^2
3xy-3xz+2xyz-xy^2-xz^2
a)\(9y^3-y\)
\(=y\left(9y^2-1\right)\)
\(=y\left(3y-1\right)\left(3y+1\right)\)
\(9y^3-y=y\left(9y^2-1\right)=y\left(3y+1\right)\left(3y-1\right)\)
\(8y^3-2y\left(1-2y\right)^2=2y\left[\left(2y\right)^2-\left(1-2y\right)^2\right]=2y\left(4y-1\right)\)
\(2x^3-8x^2+8x=2x\left(x^2-4x+4\right)=2x\left(x-2\right)^2\)
\(2x^4-6x^3+6x^2-2x=2x\left(x^3-3x^2+3x-1\right)=2x\left(x-1\right)^3\)\(x^3-8x^2+8x=x\left(x^2-8x+8\right)\)
\(5x^4-15x^3y+15x^2y^2-5xy^3-5x=5x\left(x^3-3x^2y+3xy^2-y^3-1\right)=5x\left[\left(x-y\right)^3-1\right]=5x\left(x-y-1\right)\left(x^2-2xy+y^2+x-y+1\right)\)
Giải hpt: \(\hept{\begin{cases}\sqrt{x}+\sqrt{y}+2\left(x+y\right)^2=2\left(2+3xy\right)\\\sqrt{3x^4+6x^3y}+\sqrt{3y^4+6xy^3}=6\end{cases}}\)
Phân tích đa thức thành nhân tử
a. 3x^2 - 6x + 9x^2 + x^3
b. 10x( x-y ) - 6y( y-x )
c. 3x^2 + 5y - 3xy - 5x
d. 3y^2 - 3z^2 + 6xy
e. 27 + 27x + 9x^2
f. 8x^3 - 12x^2y + 6xy^2 - y^3
g. X^3 + 8y^3
h. 16x^3 + 54y^3
i. x^2 - 25 - 2xy + y^2
k. x^5 - 3x^4 + 3x^3 - x^2
\(10x\left(x-y\right)-6y\left(y-x\right)\)
\(=10x\left(x-y\right)+6x\left(x-y\right)\)
\(=\left(10x+6x\right)\left(x-y\right)\)
\(c,3x^2+5y-3xy-5x\)
\(=\left(3x^2-3xy\right)+\left(5y-5x\right)\)
\(=3x\left(x-y\right)-5\left(x-y\right)\)
\(=\left(3x-5\right)\left(x-y\right)\)
\(e,27+27x+9x^2=3\left(9+9x+x^2\right)\)
\(f,8x^3-12x^2y+6xy^2-y^3\)
\(=\left(2x-y\right)^3\)
\(g,x^3+8y^3=x^3+\left(2y\right)^3\)
\(=\left(x+2y\right)\left(x^2-2xy+4x^2\right)\)
\(i,x^2-25-2xy+y^2\)
\(\left(x^2-2xy+y^2\right)-25=\left(x-y\right)^2-5^2\)
\(=\left(x-y-5\right)\left(x-y+5\right)\)
a, \(A=-x^2+4xy^2-2xz+3y^2\)
b, \(B=6x^2+9xy-y^2-5x^2+2xy=x^2+11xy-y^2\)
c, \(A=3xy-4y^2-x^2+7xy-8y^2=-x^2+10xy-12y^2\)
Phân tích các đa thức sau thành nhân tử:
a,(x+y)^2-9x^2
b,x^2+4-y^2+4x
c,x^2-3x+xy-3y
d,14x^2y-21xy^2+28x^2y^2
e,8x^3-1/8
f,10x(x-y)-8y(y-x)
g,x^2+6x+9
h,3x^2-3xy-5x+5y
i,3x^2+6xy+3y^2-3z^2
^ là mũ nhá mọi người
a)
(x+y)^2-9x^2 = (x+y-9x)(x+y+9x)=(y-8x)(10x+y)
b,x^2+4-y^2+4x=(x2-y2)+(4+4x)=(x-y)(x+y)+4(1+x)
Tính
1(3x-5y).(3x+5y)
2(2x-3y).(4x^2+6xy+9y^2)
3(4x+3y).(16x^2-12xy+9y^2)
4)8x^3+12x^2+6x+1
5)27x^3+54x^2y+36xy^2+8y^3
Giải hệ phương trình: \(\hept{\begin{cases}\sqrt{x}+\sqrt{y}+2\left(x+y\right)^2=2\left(2+3xy\right)\\\sqrt{3x^4+6x^3y}+\sqrt{3y^4+6xy^3}=6\end{cases}}\)