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\(\left(3x+1\right)^2=9x^2+6x+1\)
\(\left(-4+x\right)^2=16-8x+x^2\)
\(9+12x+4x^2=\left(3+2x\right)^2\)
d giống a, e giống b (đề bị lặp)
a: \(\left(3x+1\right)^2=9x^2+6x+1\)
b: \(\left(-4+x\right)^2=16-8x+x^2\)
c: \(9+12x+4x^2=\left(3+2x\right)^2\)
d: \(\left(3x+1\right)^2=9x^2+6x+1\)
e: \(\left(-4+x\right)^2=16-8x+x^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{x^2+3\text{x}y+2y^2}{\left(x^3+2\text{x}^2y\right)-\left(xy^2+2y^3\right)}\)
=\(\dfrac{x^2+3\text{x}y+2y^2}{x^2\left(x+2y\right)-y^2\left(x+2y\right)}\)=\(\dfrac{x^2+3\text{x}y+2y^2}{\left(x+2y\right)\left(x^2-y^2\right)}\)
câu 17
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11.\(=\left(\dfrac{x}{2}\right)^2-2.\dfrac{x}{2}.2y+\left(2y\right)^2\)
12. \(=\sqrt{2x}^2-2.\sqrt{2x}.y+y^2\)
13. \(=\left(\dfrac{3}{2}x\right)^2+2.\dfrac{3}{2}x.3y+\left(3y\right)^2\)
14.\(=\sqrt{2x}^2+2.\sqrt{2x}.\sqrt{8y}+\sqrt{8y}^2\)
(tự làm nữa nhá. cứ áp dụng cái công thức là ra mà.
Công thức sgk trang 16 nhá)
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\(\left(x^2-2x+3\right)\left(\frac{1}{2x}-5\right)\)
\(=\frac{x^2}{2x}-5x^2-\frac{2x}{2x}+10x+\frac{3}{2x}-15\)
\(=\frac{x^2}{2x}-5x^2-16+10x+\frac{3}{2x}\)
\(=-5x^2+\frac{x^2}{2x}+\frac{20x^2}{2x}+\frac{3}{2x}-16\)
\(=-5x^2+\frac{x^2+20x+3}{2x}-16\)
học tốt
(x^2-2x+3)(1/2x-5)=1/2x^3-5x^2-x^2+10x+3/2x-15=1/2x^3-6x^2+11,5x-15
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2x+1/x+1 = 5(x-1)/x-1
<=>(2x+1)(x-1)/(x+1)(x-1)=5(x-1)(x+1)
<=>2x2-2x+x-1=5(x2-1)
<=>2x2-x-1=5x2-5 <=>2x2-5x2-x-1+5 =0<=>-3x2-x+4=0
<=>-3x2+3x-4x+4=0 <=>-3x(x-1)-4(x-1)=0 <=> (x-1)(-3x-4)=0
<=>x-1=0 hoặc -3x-4=0
<=>x=1 hoặc x= -4/3 Vậy S={1;-4/3}