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1a/ x3+x2+x+1=0
x2(x+1).(x+1)=0
=> x2(x+1)=0 x =1
hoặc =>[
x+1=0 x=-1
b/(x+2)2=x+2
x2+2.x.2+22 =x+2
x+x+4x+4=x+2
6x+4=x+2
....
c/(x+1)(6x2+2x)+(x-1)(6x2+2x)=0
x2-12 + (6x2+2x)2=0
=> x2-1 = 0 x=1
hoặc => [
(6x2+2x)2=0 x= 0
\(B=7x^2-7xy-5x+5y\)
\(=7x\left(x-y\right)-5\left(x-y\right)\)
\(=\left(x-y\right)\left(7x-5\right)\)
\(E=x^2+7x+12\)
\(=x^2+3x+4x+12\)
\(=x\left(x+3\right)+4\left(x+3\right)\)
\(=\left(x+3\right)\left(x+4\right)\)
\(F=x^2-9x+18\)
\(=x^2-3x-6x+18\)
\(=x\left(x-3\right)-6\left(x-3\right)\)
\(=\left(x-3\right)\left(x-6\right)\)
\(H=8x^2-2x-1\)
\(=8x^2-4x+2x-1\)
\(=4x\left(2x-1\right)+\left(2x-1\right)\)
\(=\left(2x-1\right)\left(4x+1\right)\)
a)\(\frac{6x^3-7x^2-x+2}{2x+1}=\frac{\left(2x+1\right)\left(3x^2-5x+2\right)}{2x+1}=3x^2-5x+2\)
b)\(\frac{6x^3-2x^2-9x+5}{x-1}=\frac{\left(x-1\right)\left(6x^2+4x-5\right)}{x-1}=6x^2+4x-5\)
a, \(2x^2+2x+5x+5=2x\left(x+1\right)+5\left(x+1\right)=\left(2x+5\right)\left(x+1\right)\)
b,\(2x^2-2x+5x-5=2x\left(x-1\right)+5\left(x-1\right)=\left(2x+5\right)\left(x-1\right)\)
c,\(x^3-3x^2+1-3x=\left(x^3+1\right)-3x\left(x+1\right)=\left(x+1\right)\left(x^2-x+1\right)-3x\left(x+1\right)\)
\(=\left(x+1\right)\left(x^2-4x+1\right)\)
d,\(x^2-4x-5=x^2+x-5x-5=x\left(x+1\right)-5\left(x+1\right)=\left(x-5\right)\left(x+1\right)\)
e,\(\left(a^2+1\right)^2-4a^2=\left(a^2+1\right)^2-\left(2a\right)^2=\left(a^2-2a+1\right)\left(a^2+2a+1\right)=\left(a-1\right)^2\left(a+1\right)^2\)
Cách 1 : Cách này đc dạy ở trên lớp rồi nên bạn tự chia
6x - 7x - x + 22x + 1323x - 5x + 26x + 3x32-10x - x + 222-10x - 5x4x + 24x + 202
Cách 2 : Cách này mik sử dụng n` hơn :
\(6x^3-7x^2-x+2\)
\(=6x^3+3x^2-10x^2-5x+4x+2\)
\(=3x^2\left(2x+1\right)-5x\left(2x+1\right)+2\left(2x+1\right)\)
\(=\left(2x+1\right)\left(3x^2-5x+2\right)\)
\(\Leftrightarrow\left(2x+1\right)\left(3x^2-5x+2\right)\div\left(2x+1\right)=3x^2-5x+2\)