Question

What is the differecne of the following polynomials? (6x^2 - 3x^3) - (2x^3 + 4x^2 -5)

Answer 1

$(6x^2 - 3x^3) - (2x^3 + 4x^2 -5)\\\\=6x^2-3x^3-2x^3-4x^2-(-5)\\\\=6x^2-3x^3-2x^3-4x^2+5\qquad\text{combine like terms}\\\\=(-3x^3-2x^3)+(6x^2-4x^2)+5\\\\=\boxed{-5x^3+2x^2+5}$