Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(2x-2y-x^2+2xy-y^2\)
\(=2\left(x-y\right)-\left(x^2-2xy+y^2\right)\)
\(=2\left(x-y\right)-\left(x-y\right)^2\)
\(=\left(x-y\right)\left(2-x+y\right)\)
b) \(9x^2+6xy+y^2-25\)
\(=\left(3x\right)^2+6xy+y^2-25\)
\(=\left(3x+y\right)^2-5^2\)
\(=\left(3x+y+5\right)\left(3x+y-5\right)\)
a) \(\left(x^2-2x+1\right)-\left(y^2+2y+1\right)\)
\(=\left(x-1\right)^2-\left(y+1\right)^2\)
\(=\left(x-y-2\right)\left(x+y\right)\)
1-2y+y2=(1-y)2
(x+1)2-25=(x+1-5)(x+1+5)=(x-4)(x+6)
1-4x2=(1-2x)(1+2x)
8-27x3=(2-3x)(4+6x+9x2)
a) =y^2-(x+3)^2
=(y-x-3)(y+x+3).
b)
=x^2-(y^2+2y+1)
=x^2-(y+1)^2
=(x-y-1)(x+y+1)
c)
=(5x^2-15x)(xy-2y)
=5x(x-3)y(x-2)
=5xy(x-2)(x-3).
a) \(y^2+2y^2-3y=y.y+y.2y-y.3\)
\(=y\left(y+2y-3\right)\)
b) \(2x^4-x^3+2x^2+1=2x^2.x^2-x^2.x+2x.x^2+1\)
\(=x^2\left(2x^2-x+2x\right)+1=x^2.x\left(2x-1+2\right)+1\)
k mình nha
a. y2+2y2-3y
=y(y+2y-3)
b. 2x4-x3+2x2+1
=2x2(x2+1)-(x3-1)
=2x2(x+1)(x-1)-(x-1)(x2+x+1)
=(x-1)[2x2(x+1)-(x2+x+1)]
=(x-1)(2x3+2x2-x2-x-1)
=(x-1)(2x3+x2-x-1)
a) \(x^2-2x-y^2+2y\)
\(=\left(x^2-y^2\right)-\left(2x-2y\right)\)
\(=\left(x-y\right)\left(x+y\right)-2\left(x-y\right)\)
\(=\left(x-y\right)\left(x+y-2\right)\)
b) \(2x+2y-x^2-xy\)
\(=2\left(x+y\right)-x\left(x+y\right)=\left(x+y\right)\left(2-x\right)\)
x2-y2 -2x+2y=(x+y)(x-y)-2(x-y)=(x-y)(x-y-2)
2(x+y)-x(x+y)=(x+y)(2-x)
\(=x^2+y^2+1-2x-2y+2xy-4\)
\(=\left(x+y-1\right)^2-2^2\)
\(=\left(x+y-3\right).\left(x+y+1\right)\)
\(\left(x+1\right)^2-25=\left(x+26\right)\left(x-24\right)\)
\(1-2y+y^2=\left(y-1\right)^2\)
\(\left(x+1\right)^2-25\)
\(=x^2+2x+1-25\)
\(=x^2+2x-24\)
\(=x^2+6x-4x-24\)
\(=x\left(x+6\right)-4\left(x+6\right)\)
\(=\left(x-4\right)\left(x+6\right)\)
\(1-2y+y^2\)
\(=1-y-y+y^2\)
\(=\left(1-y\right)-y\left(1-y\right)\)
\(=\left(1-y\right)\left(1-y\right)\)
\(=\left(1-y\right)^2\)
C2
\(1-2y+y^2=\left(1-y\right)^2\)