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\(x^2-3x+2=x^2-2x-x+2\)
\(=x\left(x-2\right)-\left(x-2\right)=\left(x-1\right)\left(x-2\right)\)
.....
\(x^2-3x+2\)
\(=x^2-x-2x+2\)
\(=x\left(x-1\right)-2\left(x-1\right)\)
\(=\left(x-1\right)\left(x-2\right)\)
Ủng hộ nha
\(3y^3+6xy^2+3x^2y=3y\left(y^2+2xy+x^2\right)=3y\left(x+y\right)^2\)
\(x^3-3x^2-4x+12=x^2\left(x-3\right)-4\left(x-3\right)=\left(x-3\right)\left(x^2-4\right)=\left(x-3\right)\left(x-2\right)\left(x+2\right)\)
\(x^3+3x^2-3x-1=\left(x-1\right)\left(x^2+x+1\right)+3x\left(x-1\right)=\left(x-1\right)\left(x^2+x+1+3x\right)\)
\(=\left(x-1\right)\left(x^2+4x+1\right)\)
Tham khảo nhé~
Đặt \(x^2-3x-1=a\)thay vào biểu thức ta được :
\(a^2-12a+27\)
\(=a^2-3a-9a+27\)
\(=a\left(a-3\right)-9\left(a-3\right)\)
\(=\left(a-3\right)\left(a-9\right)\)(1)
Thay \(a=x^2-3x-1\)vào (1) ta được :
\(\left(x^2-3x-1-3\right)\left(x^2-3x-1-10\right)\)
\(=\left(x^2-3x-4\right)\left(x^2-3x-11\right)\)
Bạn Châu sai đáp án cuối
phải là (x2-3x-4)(x2-3x-10) nha
a)
\(x^2-x-12\)
\(=x^2-4x+3x-12\)
\(=x\left(x-4\right)+3\left(x-4\right)\)
\(=\left(x-4\right)\left(x+3\right)\)
b)
Đặt \(x^2+3x+1=t\), ta có:
\(t\left(t+1\right)-6\)
\(=t^2+t-6\)
\(=t^2+3x-2x-6\)
\(=t\left(t+3\right)-2\left(t+3\right)\)
\(=\left(t+3\right)\left(t-2\right)\)
a, \(x^2-x-12\)
\(=x^2-4x+3x-12\)
\(=x\left(x-4\right)+3\left(x-4\right)\)
\(=\left(x-4\right)\left(x+3\right)\)
b, \(\left(x^2+3x+1\right)\left(x^2+3x+2\right)-6\)
\(=\left(x^2+3x+1,5\right)^2-0,5^2-6\)
\(=\left(x^2+3x+1,5\right)^2-2,5^2\)
\(=\left(x^2+3x+1,5-2,5\right)\left(x^2+3x+1,5+2,5\right)\)
\(=\left(x^2+3x-1\right)\left(x^1+3x+1\right)\)
a) \(x^3-3x+1-3x^2=\left(x^3+1\right)-\left(3x^2+3x\right)=\left(x+1\right)\left(x^2-x+1\right)-3x\left(x+1\right)\)
\(=\left(x+1\right)\left(x^2-x+1-3x\right)=\left(x+1\right)\left(x^2-4x+1\right)\)
b) \(2x^2+4x+2-2y^2=2\left(x^2+2x+1-y^2\right)=2\left[\left(x+1\right)^2-y^2\right]=2\left(x+1+y\right)\left(x+1-y\right)\)
\(x^4+3x^2-4\)
\(=x^4+4x^2-x^2-4\)
\(=x^2\left(x^2+4\right)-\left(x^2+4\right)\)
\(=\left(x^2+4\right)\left(x^2-1\right)\)
\(=\left(x^2+4\right)\left(x-1\right)\left(x+1\right)\)
Chúc bạn học tốt.
\(x^2-3x+2\)
\(=x^2-x-2x+2\)
\(=x\left(x-1\right)-2\left(x-1\right)\)
\(=\left(x-2\right)\left(x-1\right)\)
\(x^2-3x+2=x^2-x-2x+2=x\left(x-1\right)-2\left(x-1\right)=\left(x-2\right)\left(x-1\right)\)