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a) \(x^2+10x+26+y^2+2y\)
= \(x^2+10x+25+y^2+2y+1\)
= \(\left(x+5\right)^2+\left(y+1\right)^2\)
b) \(x^2-2xy+2y^2+2y+1\)
= \(x^2-2xy+y^2+y^2+2y+1\)
= \(\left(x-y\right)^2+\left(y+1\right)^2\)
c) \(z^2-6z+5-t^2-4t\)
= \(z^2-6z+9-\left(t^2+4t+4\right)\)
= \(\left(z-3\right)^2-\left(t+2\right)^2\)
d) \(4x^2-12x-y^2+2y+1\)
Hình như câu này sai đề -_-
a, \(x^2+10x+26+y^2+2y\)
\(=\left(x^2+2.x.5+5^2\right)+\left(1^2+2.1.y+y^2\right)\)
\(=\left(x+5\right)^2+\left(y+1\right)^2\)
b, \(x^2-2xy+2y^2+2y+1\)
\(=x^2-2xy+y^2+y^2+2y+1\)
\(=\left(x^2-2.x.y+y^2\right)+\left(y^2+2.y.1+1^2\right)\)
\(=\left(x-y\right)^2+\left(y+1\right)^2\)
c,\(z^2 -6z+5-t^2-4t\)
\(=-\left(t^2+4t-z^2+6z-5\right)\)
\(=-\left(t^2+2.t.2+2^2-z^2+2.z.3-3^2\right)\)
\(=-\left(\left(t^2+2.t.2+2^2\right)-\left(z^2-2.z.3+3^2\right)\right)\)
\(=-\left(\left(t+2\right)^2-\left(z-3\right)^2\right)\)
\(=\left(z-3\right)^2-\left(t+2\right)^2\)
d, Không biết làm hihi :)
a) \(x^2-10\cdot2\cdot x+10^2=\left(x-10\right)^2\)
b) \(x^2+2\cdot5\cdot x+5^2=\left(x+5\right)^2\)
c) \(x^2-2\cdot6\cdot xy+\left(6y\right)^2=\left(x-6y\right)^2\)
1. 2xy2 +x2y4+1 = (xy2+1)2
2. a)3x2+3x-10x-10=3x(x+1)-10(x+1)=(x+1)(3x-10)
b)2x2-5x-7=2x2+2x-7x-7=2x(x+1)-7(x+1)=(x+1)(2x-7)
Mong có thể giúp được bạn
x2 - 3x + 2
= x2 - x - 2x + 2
= x(x - 1) - 2(x - 1)
= (x - 1)(x - 2)
3x2 - 7x - 10
= 3x2 + 3x - 10x - 10
= 3x(x + 1) - 10(x + 1)
= (x + 1)(3x - 10)
2x2 - 5x - 7
= 2x2 + 2x - 7x - 7
= 2x(x + 1) - 7(x + 1)
= (x + 1)(2x - 7)
\(2xy^2+x^2y^4+1\\ =\left(xy^2\right)^2+2xy^2.1+1^2\\ =\left(xy^2+1\right)^2\)
Ta có :
\(2xy^2+x^2y^4+1=\left(xy^2\right)^2+2.xy^2.1+1^2\)
\(=\left(xy^2+1\right)^2\)
\(x^2-2xy+y^2+x^2-10x+25=0\)
\(\Leftrightarrow\left(x-y\right)^2+\left(x-5\right)^2=0\)
\(\Leftrightarrow\hept{\begin{cases}x-y=0\\x-5=0\end{cases}}\Leftrightarrow\hept{\begin{cases}y=5\\x=5\end{cases}}\)
vậy \(y=5\) va\(x=5\)
\(2x^2+y^2-2xy-10x+25=0\)
\(\Leftrightarrow(x^2-2xy+y^2)+\left(x^2-10x+25\right)=0\)
\(\Leftrightarrow\left(x-y\right)^2+\left(x-5\right)^2=0\)
\(\Rightarrow\hept{\begin{cases}x-5=0\Rightarrow x=5\\x-y=5\Rightarrow y=5\end{cases}}\)
A=x2+y2+2x-4y+5
=x2+2x+1+y2-4y+4
=(x+1)2+(y-2)2
A=0
=>(x+1)2+(y-2)2=0
<=>x+1=0 và y-2=0
<=>x=-1 và y=2
\(7x^3-5x^2=x^2\left(7x-5\right)\)
\(x^2-10x+25=\left(x-5\right)^2\)
\(6x^2-2xy^2+3x-y\) sai đề
\(4x^4+1=\left(2x^2-2x+1\right)\left(2x^2+2x+1\right)\)
7x3-5x2=x2.(7x-5)
x2-10x+25=(x-5)2
6x2-2xy2+3x-y=(6x2-2xy2)+(3x-y)=2x(3x-y)+(3x-y)=(3x-y)(2x+1)
4x4+1=4x4+4x2+1-4x2=(2x2+1)2-4x2=(2x2+2x+1).(2x2-2x+1)
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mik ko biết
mong bn thông cảm
nha ................
tk lai