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`9x^2+4y^2-12xy+6x-4y+1`
`=(3x)^2-2.3x.2y+(2y)^2+2(3x-2y)+1`
`=(3x-2y)^2+2(3x-2y)+1`
`=(3x-2y+1)^2`
![](https://rs.olm.vn/images/avt/0.png?1311)
Trả lời:
\(9x^2+2y^2-6xy-4y+4\)
\(=\left(9x^2-6xy+y^2\right)+\left(y^2-4y+4\right)\)
\(=\left(3x-y\right)^2+\left(y-2\right)^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(49x^2y^4-36z^2t^2\)
\(=\left(7xy^2\right)^2-\left(6zt\right)^2\)
\(=\left(7xy^2-6zt\right).\left(7xy^2+6zt\right).\)
b) \(4-12xy^2+9x^2y^4\)
\(=2^2-2.2.3xy^2+\left(3xy^2\right)^2\)
\(=\left(2-3xy^2\right)^2.\)
Chúc bạn học tốt!
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b. (9x2 +12x + 4) + 6(3x + 2) + 9
= (3x+2)^2 + 2.3.(3x+2) + 3^2
= (3x+2+3)^2
= (3x+5)^2
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9x2-12xy+4y2
= (3x)2-2.3x.2y+(2y)2
= (3x-2y)2
Phải là (A-B)2 mới đúng
9x2-12xy+4y2
=(3x)2-(3x)*(2y)2+(2y)2
Áp dụng theo công thức: (x-y)2=x2-2xy+y2
Ta được: (3x)2-(3x)*(2y)2+(2y)2=(3x-2y)2
![](https://rs.olm.vn/images/avt/0.png?1311)
a,1/4+3x+9x^2=(1/2+3x)^2
b,25x^2-7xy+49y^2=(5x-7y)^2
=.= hok tốt!!
\(x^3-0.36x\)
\(=x\left(x^2-0.36\right)\)
\(=x\left(x-0.6\right)\left(x+0.6\right)\)
\(x^3-9x=x\left(x^2-9\right)\)
\(=x\left(x-3\right)\left(x+3\right)\)
x − 0.36x
= x x − 0.36
= x x − 0.6 x + 0.6 x − 9x
= x x − 9 = x x − 3 x + 3 3 ( 2 ) ( ) ( ) 3 ( 2 )