Răspuns :
(4x-3)^2-9(x+2)^2=
=8x^2-24x+9-9(x^2+4x+4)=
=8x^2-24x(x^2+4x+4)=
=8x^2-24x^3-96x^2+96x=
=-80x^2+96x
=8x^2-24x+9-9(x^2+4x+4)=
=8x^2-24x(x^2+4x+4)=
=8x^2-24x^3-96x^2+96x=
=-80x^2+96x
=(4x-3)la puterea 2-9(x+2)la puterea 2
=(4x-3-3(x+2))×(4x-3+3(x+2))
=(4x-3-3x-6)×(4x-3+3x+6)
=(x-9)×(7x+3)