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a)(x-1)(x2+x+1)-x(x+2)(x-2)=5
=>x3-1-4x-x3=5
=>x3-x3+4x-1=5
=>4x-1=5
=>4x=6
=>x=3/2
b)(x-2)^3-(x-3)(x^2+3x+9)+6(x+1)^2=15
=>x3-6x2+12x-8-x3+27+6x2+12x+6=15
=>(x3-x3)-(-6x2+6x2)+(12x+12x)-8+27+6=15
=>24x+25=15
=>24x=-10
=>x=-5/12
c)6(x+1)^2-2(x+1)^3+2(x-1)(x^2+x+1)=1
=>6x2+12x+6-2x3-6x2-6x-2+2x3-2=1
=>(6x2-6x2)+(12x-6x)-(-2x3+2x3)+6-2-2=1
=>6x+2=1
=>6x=-1
=>x=-1/6
1
a) \(\left(3x+1\right)\left(3x-1\right)=9x^2-1\)
\(\left(x+5y\right)\left(x-5y\right)=x^2-25y\)
b) \(\left(x-3\right)\left(x^2+3x+9\right)=x^3-27\)
\(\left(x-5\right)\left(x^2+5x+25\right)=x^3-125\)
Bài 3:
a: \(\Leftrightarrow x^2+8x+16-x^2+1=16\)
=>8x+1=0
=>x=-1/8
b: \(\Leftrightarrow4x^2-4x+1+x^2+6x+9-5x^2+245=0\)
=>2x+255=0
=>x=-255/2
c: \(\Leftrightarrow x^3-6x^2+12x-8-x^3+64+6x^2+12x+6=49\)
=>24x+62=49
=>24x=-13
=>x=-13/24
d: =>x^3+8-x^3-2x=15
=>-2x=15-8=7
=>x=-7/2
bn nên vt thành phân thức thì mọi người sẽ dễ nhìn và sẽ giải giúp bn!!!
a: \(=\dfrac{2x-9}{\left(x-2\right)\left(x-3\right)}-\dfrac{x+3}{x-2}+\dfrac{2x+1}{x-3}\)
\(=\dfrac{2x-9-x^2+9+2x^2-4x+x-2}{\left(x-3\right)\left(x-2\right)}\)
\(=\dfrac{x^2-x-2}{\left(x-3\right)\left(x-2\right)}=\dfrac{x+1}{x-3}\)
b: \(=\dfrac{2x+1-x^2+9+2x^2-8x+x-4}{\left(x-3\right)\left(x-4\right)}\)
\(=\dfrac{x^2-5x+6}{\left(x-3\right)\left(x-4\right)}=\dfrac{x-2}{x-4}\)
c: \(=\dfrac{x^2-4-5-x-3}{\left(x-2\right)\left(x+3\right)}=\dfrac{\left(x-4\right)\left(x+3\right)}{\left(x-2\right)\left(x+3\right)}=\dfrac{x-4}{x-2}\)
d: \(=\dfrac{3x^2+3x-9+x^2+2x-3-x^2+4}{\left(x-1\right)\left(x+2\right)}\)
\(=\dfrac{3x^2+5x-8}{\left(x-1\right)\left(x+2\right)}=\dfrac{3x^2+8x-3x-8}{\left(x-1\right)\left(x+2\right)}=\dfrac{3x+8}{x+2}\)
\(a=x^3-1+x^3-6x^2+12x-8-2\left(x^3+1\right)+6\left(x^3-3x^2+3x-1\right)\)
\(=2x^3-6x^2+12x-9-2x^3-2+6x^3-18x^2+18x-6\)
\(=6x^3-24x^2+30x-17\)
Chúc học tốt1