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a) mk sửa lại đề chút nhé, bn tham khảo
TH1: \(\left(x^3-2x^2\right)-\left(x-2\right)=x^2\left(x-2\right)-\left(x-2\right)\)
\(=\left(x-2\right)\left(x^2-1\right)=\left(x-2\right)\left(x-1\right)\left(x+1\right)\)
TH2: \(\left(x^3+2x^2\right)-\left(x+2\right)=x^2\left(x+2\right)-\left(x+2\right)\)
\(=\left(x+2\right)\left(x^2-1\right)=\left(x+2\right)\left(x+1\right)\left(x-1\right)\)
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a: \(A=\left(x+2y\right)^3=\left(-5\right)^3=-125\)
b: \(B=\left(2x-y\right)^3=\dfrac{1}{125}\)
c: \(=x^3+3x^2+3x+1-x^3+3x^2-3x+1-3x\left(x^2-2x+1+x+1\right)\)
\(=6x^2+2-3x\left(2x^2-x+2\right)\)
\(=6x^2+2-6x^3+3x^2-6x\)
\(=-6x^3+9x^2-6x+2\)
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\(x^2-4x+5\)
\(\Delta'=\left(-2\right)^2-1.5=4-5=-1< 0\)
=> PT vô nghiệm
\(x^2+x+\frac{1}{2}\)
\(\Delta=1^2-4.1.\frac{1}{2}=1-2=-1< 0\)
=>PT vô nghiệm
x2-4x+5=x(2-4)+5=-2x+5
x2+x+1/2=x(2+1)+1/2=3x+1/2
(x-1)2+2(x-1).(x+2)+(x+2)
=2(x-1)(1+x+2)+(x+2)
=2(x-1)(3+x)+x+2
=(2x-2)(3+x)+x+2
=6x+2x2-6-2x+x+2
=2x2+5x-4. (Ko biết đúng ko nữa....nếu đúng h mk nha!)
HAND!!
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a. x4 - x2 + 16
= x4 - 8x2 + 9x2 + 16
= (x2 - 4)2 + 9x2
= (x2 - 4 - 3x)(x2 - 4 + 3x)
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a) \(\left(a-b-c\right)^2-\left(a-b-c\right)^2\)
\(=\left(a-b-c-a+b+c\right)\left(a-b-c+a-b-c\right)\)
\(=0.\left(-2b-2c\right)=0\)
b) \(\left(1+x+2x\right)\left(1-x\right)\left(1-x+2x\right)\)
lười làm quá t đi mik sẽ làm
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\(2^2\cdot2^2=2^{2+2}=2^4=16\)
\(\left(8\cdot3\right)^2=8^2\cdot3^2=64\cdot9=576\)