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Đề như này đúng chưa ạ?: (x-2)(x2 + 2x+4) - 128 + x3
=x3 - 23 - 128 + x3
= 2x3 -136
a, \(\frac{x+1}{2x+6}+\frac{2x+3}{x^2+3x}=\frac{x+1}{2\left(x+3\right)}+\frac{3x+2}{x\left(x+3\right)}\)
\(=\frac{x^2+x}{2x\left(x+3\right)}+\frac{6x+4}{2x\left(x+3\right)}=\frac{x^2+7x+4}{2x\left(x+3\right)}\)
b, Sua de : \(\frac{3}{2x+6}-\frac{x-6}{2x^2+6x}=\frac{3}{2\left(x+3\right)}-\frac{x-6}{2x\left(x+3\right)}\)
\(=\frac{3x}{2x\left(x+3\right)}-\frac{x-6}{2x\left(x+3\right)}=\frac{2x+6}{2x\left(x+3\right)}=\frac{1}{x}\)
a. (x + 3).(x2 - 1)
= x.x2 - x.1 + 3.x2 - 3.1
= x3 - x + 3x2 - 3
= x3 + 3x2 - x - 3
b. (3x + 2).(4x - 1)
= 3x.4x - 3x + 2.4x - 2
= 12x2 - 3x + 8x - 2
= 12x2 + 5x - 2
c. (2x - 3).(3x + 2)
= 2x.3x + 2x.2 - 3.3x - 3.2
= 6x2 + 4x - 9x - 6
= 6x2 - 5x - 6
d. (12x - 5).(4x + 1)
= 12x.4x + 12x - 5.4x - 5
= 48x2 + 12x - 20x - 5
= 48x2 - 8x - 5
e. (x - 3).(x2 + 3x + 9)
= x.x2 + x.3x + x.9 - 3x2 - 3.3x - 3.9
= x3 + 3x2 + 9x - 3x2 - 9x - 27
= x3 - 27 (Đây là dạng HĐT x3 - 33)
a: \(=\dfrac{4}{x+2}+\dfrac{2}{\left(x-2\right)}-\dfrac{5x-6}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{4x-8+2x+4-5x+6}{\left(x+2\right)\left(x-2\right)}=\dfrac{x+2}{\left(x+2\right)\left(x-2\right)}=\dfrac{1}{x-2}\)
b: \(=\dfrac{11x+13}{3\left(x-1\right)}+\dfrac{15x+17}{4\left(x-1\right)}\)
\(=\dfrac{44x+52+45x+51}{12\left(x-1\right)}=\dfrac{89x+103}{12\left(x-1\right)}\)