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a)72 -272 =(7-27)(7+27)
=-20.34
=-680
b)372 -132=(37-13)(37+13)=24.50
=1200
c)20022-22=(2002-2)(2002+2)
=2000.2004
=4008000
\(x^3-3x^2+3x-1\) =0
=>\(\left(x-1\right)^3\)=0
=>x-1=0
=>x=1
vậy x =1
\(x^3-3x^2+3x-1=0\)
\(\Leftrightarrow\left(x-1\right)^3\)
\(\Leftrightarrow x-1=0\)
\(\Leftrightarrow x=1\)
\(x^3-x^2-x-2=x^3-2x^2+x^2-2x+x-2\) \(-2\)
\(=\) \(x^2\left(x-2\right)+x\left(x-2\right)+\left(x-2\right)\)
\(=\left(x^2+x+1\right)\left(x-2\right)\)
\(x^3-6x^2-x+30=x^3+2x^2-8x^2-16x+15x+30\)
\(=x^2\left(x+2\right)-8x\left(x+2\right)+15\left(x+2\right)\)
\(=\) \(\left(x^2-8x+15\right)\left(x+2\right)\)
\(=\left(x^2-5x-3x+15\right)\left(x+2\right)\)
\(=\left(x-5\right)\left(x-3\right)\left(x+2\right)\)
x4 -2x2 +1 =x2.x2 - x2-x2 +1= - x2(1- x2) + (1 - x2)=(1-x2).(1-x2)=(1-x2)2
\(x^3-2x-4\)
\(=x^3-4x+2x-4\)
\(=\left(x^3-4x\right)+\left(2x-4\right)\)
\(=x\left(x^2-4\right)+2\left(x-2\right)\)
\(=x\left(x-2\right)\left(x+2\right)+2\left(x-2\right)\)
\(=\left(x-2\right)\left[x\left(x+2\right)+2\right]\)
\(=\left(x-2\right)\left(x^2+2x+2\right)\)
1. 2xy2 +x2y4+1 = (xy2+1)2
2. a)3x2+3x-10x-10=3x(x+1)-10(x+1)=(x+1)(3x-10)
b)2x2-5x-7=2x2+2x-7x-7=2x(x+1)-7(x+1)=(x+1)(2x-7)
Mong có thể giúp được bạn
x2-2x-3 = x2-3x+x-3 = x(x-3) + (x-3) = (x+1)(x-3)
CHọn mình nha :)
\(x^2-2x-3\)
\(=x^2+x-3x-3\)
\(=x\left(x+1\right)-3\left(x+1\right)\)
\(=\left(x+1\right)\left(x-3\right)\)
hk tot
^^