Question

把下列各式分解因式 x立方-3x+2 x⁴+4分之81 x⁴+x²y²+y&

Answer 1

x^3-3x+2

=(x-1)(x^2+x-2)

=(x-1)(x+2)(x-1)

=(x+2)(x+1)^2

x^4+81/4

=(x^2+9/2)-(3x)^2

=(x^2+3x+9/2)(x^2-3x+9/2)

x^4+x^2y^2+y^4

=(x^2+y^2)-(xy)^2

=(x^2+xy+y^2)(x^2-xy+y^2)

x^2y-7xy+6y

=y(x^2-7x+6)

=y(x-6)(x-1)