Question

Phân tích đa thức sau thành nhân tử:

 

 

 

Answer 1

29) \(=x^6\left(x^4-4x^2+4\right)=x^6\left(x^2-2\right)^2\)

30) \(=\left(2x^2\right)^3-\left(3y\right)^3=\left(2x^2-3y\right)\left(4x^4+6x^2y+9y^2\right)\)

31) \(=\left(a+b-c\right)\left(a^2+2ab+b^2-ac-bc+c^2\right)\)

32) \(=\left(x-y+1\right)\left(x^2+xy-x+y^2-2y+1\right)\)

33) \(=\left(x^3-1\right)\left(x^3+1\right)=\left(x-1\right)\left(x+1\right)\left(x^2-x+1\right)\left(x^2+x+1\right)\)

34) \(=\left(x^3-y^3\right)\left(x^3+y^3\right)=\left(x-y\right)\left(x^2+xy+y^2\right)\left(x+y\right)\left(x^2-xy+y^2\right)\)

35) \(=\left(\dfrac{1}{3}+a\right)\left(\dfrac{1}{9}-\dfrac{a}{3}+a^2\right)\)

36) \(=-\left(m^3-9m^2+27m-27\right)=-\left(m-3\right)^3\)

37) \(=\left(5-x-2\right)\left(25+5x+10+x^2+4x+4\right)=\left(3-x\right)\left(x^2+9x+39\right)\)