Question

Answer 1

\(a,A=4x^3y-12x^2y+9xy=xy\left(4x^2-12xy+9\right)\\ b,B=9y^2-4x^2+4x-1=9y^2-\left(4x^2-4x+1\right)=\left(3y\right)^2-\left(2x-1\right)^2=\left(3y-2x+1\right)\left(3y+2x-1\right)\\ c,C=3x^2+4x-4=\left(3x^2+6x\right)-\left(2x+4\right)=3x\left(x+2\right)-2\left(x+2\right)=\left(3x-2\right)\left(x+2\right)\)

Answer 2

a) A=4x³y-12x²y+9xy
      =xy(4x²-12x+9)
      =xy(2x-3)²
b)B=9y²-4x²+4x-1
     =(9y²-1)-(4x²-4x)
     =(3y-1)(3y+1)-4x(x-1)
c)C=3x²+4x-4
     =3x²+6x-2x-4
     =(3x²+6x)-(2x-4)
     =3x(x+2)-2(x+2)
     =(x+2)(3x-2)