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bài 1:
a) x2 + 10x + 26 + y2 + 2y
= (x2 + 10x + 25) + (y2 + 2y + 1)
= (x + 5)2 + (y + 1)2
b) z2 - 6z + 5 - t2 - 4t
= (z - 3)2 - (t + 2)2
c) x2 - 2xy + 2y2 + 2y + 1
= (x2 - 2xy + y2) + (y2 + 2y + 1)
= (x - y)2 + (y + 1)2
d) 4x2 - 12x - y2 + 2y + 1
= (4x2 - 12x ) - (y2 + 2y + 1)
= ......................................
ok mk nhé!! 4545454654654765765767587876968345232513546546575675767867876876877687975675

1/ \(\left(x+3\right)^2-\left(2x-5\right)\left(x+3\right).\)
\(=x^2+6x+9-\left(2x^2+6x-5x-15\right)\)
\(=x^2+6x+9-2x^2-6x+5x+15\)
\(=-x^2+5x+24\)
\(=-\left(x^2-5x-24\right)\)
\(=-\left(x^2-8x+3x-24\right)\)
\(=-\left[x\left(x-8\right)+3\left(x-8\right)\right]\)
\(=-\left(x-8\right)\left(x+3\right)\)
2/ \(x^2-xy+x-y\)
\(=\left(x^2+x\right)-\left(xy+y\right)\)
\(=x\left(x+1\right)-y\left(x+1\right)\)
\(=\left(x-y\right)\left(x+1\right)\)
3/ \(x^3+6x^2+9x\)
\(=x\left(x^2+6x+9\right)\)
\(=x\left(x+3\right)^2\)
1,Bạn tự lm
\(2,x^2-xy+x-y=x\left(x-y\right)+\left(x-y\right)=\left(x-1\right)\left(x+1\right)\)
\(3,x^3+6x^2+9x=x\left(x^2+6x+9\right)=x\left(x+3\right)^2\)
\(4,x^2y+xy+x+1=xy\left(x+1\right)+\left(x+1\right)=\left(x+1\right)\left(xy+1\right)\)
\(5,ax+by+ay+bx=\left(ax+ay\right)+\left(by+bx\right)=a\left(x+y\right)+b\left(y+x\right)=\left(x+y\right)\left(a+b\right)\)
\(6,x^2-\left(a+b\right)x+ab=x^2-ax-bx+ab=\left(x^2-bx\right)-\left(ax-ab\right)=x\left(x-b\right)-a\left(x-b\right)=\left(x-b\right)\left(x-a\right)\)

a) Bình phương \(x+\frac{1}{x}=3\)
Kết quả: 7
b) Lập phương \(x+\frac{1}{x}=3\)
Kết quả: 18
c) Bình phương \(x^2+\frac{1}{x^2}\)
Kết quả: 47

= ( x/(x-6)(x+6) - x-6/x(x+6) ) : 2x-6/x2 + 6x + 6/6-x
=( x2/x(x+6)(x-6) - (x -6 )(x-6)/x(x+6)(x-6) ) : .....
= (12x -36 / x(x+6)(x-6) : 2x-6/ x2 + 6x )+ 6/6-x
=6/x-6 + 6/6-x
= 6-6/ x-6
=0/x-6
câu trước mình thiếu 6/6-x

a) 4(x - 3)2 - (2x - 1)(2x + 1) = 10
\(\Leftrightarrow\)4(x2 - 6x + 9) - (4x2 - 1) = 10
\(\Leftrightarrow\)4x2 - 24x + 36 - 4x2 + 1 - 10 = 0
\(\Leftrightarrow\)-24x + 27 = 0
\(\Leftrightarrow\)-24x = -27
\(\Leftrightarrow\)x = \(\frac{9}{8}\)
Vậy x = 9/8
b) (x - 4)2 - (x - 2)(x + 2) = 6
\(\Leftrightarrow\)x2 - 8x + 16 - x2 + 4 - 6 = 0
\(\Leftrightarrow\)-8x + 14 = 0
\(\Leftrightarrow\)-8x = -14
\(\Leftrightarrow\)x = \(\frac{7}{4}\)
Vậy x = 7/4
c) 9(x + 1)2 - (3x - 2)(3x + 2) = 10
\(\Leftrightarrow\)9(x2 + 2x + 1) - 9x2 + 4 - 10 = 0
\(\Leftrightarrow\)9x2 + 18x + 9 - 9x2 + 4 - 10 = 0
\(\Leftrightarrow\)18x + 3 = 0
\(\Leftrightarrow\)18x = - 3
\(\Leftrightarrow\)x = \(\frac{-1}{6}\)
Vậy x = -1/6
\(\left(x-2\right)^2-\left(x-3\right)\left(x+3\right)=6\)
\(\Leftrightarrow\)\(x^2-4x+4-x^2+9=6\)
\(\Leftrightarrow\)\(-4x=-7\)
\(\Leftrightarrow\)\(x=1,75\)
Vậy x = 1,75
\(\left(x-2\right)^2-\left(x-3\right)\left(x+3\right)=6\)
\(\Leftrightarrow\left(x-2\right)^2-\left(x^2-3^2\right)=6\)
\(\Leftrightarrow\left(x^2-4x+4\right)-\left(x^2-9\right)=6\)
\(\Leftrightarrow x^2-4x+4-x^2+9=6\)
\(\Leftrightarrow-4x+13=6\)
\(\Leftrightarrow-4x=-7\)
\(x=\frac{7}{4}\)
P/s tham khảo nha