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\(\left(x^2-y^2+6xy-9\right):\left(x-y+3\right)=\left[\left(x-y\right)^2-9\right]:\left(x-y+3\right)\)
\(=\left(x-y+3\right)\left(x-y-3\right):\left(x-y+3\right)=x-y-3\)
(x2 - y2 + 6y - 9) : (x - y + 3)
= [x2 - (y2 - 6y + 9)] : (x - y + 3)
= [x2 - (y - 3)2] : (x - y + 3)
= (x - y + 3)(x + y - 3) : (x - y + 3)
= x + y - 3
\(\left(x^2-y^2+6y-9\right):\left(x-y+3\right)\)
\(=\left[x^2-\left(y^2-6y+9\right)\right]:\left(x-y+3\right)\)
\(=\left[x^2-\left(y-3\right)^2\right]:\left(x-y+3\right)\)
\(=\left(x+y-3\right)\left(x-y+3\right):\left(x-y+3\right)\)
=\(x+y-3\)
TL:
1)\(\left(y^2-6y+9\right)-\left(3-y\right)^2=\left(y-3\right)^2-\left(3-y\right)^2\)
\(=\left(y-3+3-y\right)\left(y-3-3+y\right)=0.\left(2y-6\right)=0\)
2)\(\left(x-3\right)^2-\left(x-4\right)\left(x+4\right)=\left(x-3\right)^2-x^2+16\)
\(=\left(x-3+x\right)\left(x-3-x\right)+16=\left(2x-3\right).\left(-3\right)+16=-6x+9+16\)
\(=-6x+25\)
hc tốt
\(1,\left(y^2-6x+9\right)-\left(3-y\right)^2\)
\(=\left(y-3\right)^2-\left(y-3\right)^2=0\)
\(2,\left(x-3\right)^2-\left(x-4\right)\left(x+4\right)\)
\(=x^2-6x+9-x^2+16=-6x+21\)
\(3...\)\(< ->1\)
ban chu y nhe
x^2-y^2+6x+9 = (x^2 +6x+9)-y^2(sử dụng hđt a^2+2ab+b^2=(a+b)^2 )
=(x+3)^2-y^2 (sử dụng hđt a^2 - b^2= (a+b)(a-b)
=(x+3+y)(x+3-y)
=>(x^2 -y^2+6x+9)/(x+y+3)=x-y+3
chúc may mắn
mik ko biết viết số mũ thông cảm
Giải:
a) 6x - 7x - x + 2 2x + 1 3 2 3x - 5x + 2 2 6x + 3x 3 2 - -10x - x + 2 2 -10x - 5x 2 4x + 2 - 4x + 2 0
Vậy ...
b)
2x - 10x - x + 15x - 3 2x - 3 4 3 2 2 x - 5x +3/2 2 2x - 3x 4 - -10x + 3x + 15x - 3 2 3 2 -10x + 15x - 3 3x - 3 2 3x - 2 2 - -1
Vậy ...
c)
Vậy ...
Chúc bạn học tốt!
\(x^2-y^2+6x+9=\left(x^2+6x+9\right)-y^2=\left(x+3\right)^2-y^2=\left(x+y+3\right)\left(x-y+3\right)\)
Vậy \(\left(x^2-y^2+6x+9\right):\left(x+y+3\right)=x-y+3\)
(x2– y2 + 6x + 9) : (x + y + 3) = (x2 + 6x+ 9) – y2 : (x + y + 3)
=(x + 3)2 – y2 : (x + y + 3) = (x + 3 – y) (x + 3 + y) : (x + y + 3) = (x – y + 3)
(x2 - y2 + 6y - 9):(x - y + 3)
= [x2 - (y2 - 6y + 9)]:(x - y + 3)
= [x2 - (y - 3)2]:(x - y + 3)
= [x + (y - 3)][x - (y - 3)]:(x - y + 3)
= (x + y - 3)(x - y + 3):(x - y + 3)
= x + y - 3
(x2 -y2 +6y -9) : (x-y+3)
= [x2-(y2-6y+9)] : (x-y+3)
=[x2-(y-3)2 ] : (x-y+3)
=[(x-y+3)(x+y-3)] :(x-y+3)
=x+y-3