Question

Simplify (8x^2 - 1 + 2x^3) - (7x^3 - 3x^2 + 1).

-5x^3 + 11x^2 - 2

5x^3 - 11x^2 + 2

x^3 + 2x^2 + x^3

x^3 - 2x^2 - x^3

Answer 1

When you subtract polynomials, you are essentially adding the opposite. The first step here is to distribute the negative across the second trinomial\[7x ^{3}(-1)-3x ^{2}(-1)+1(-1)=-7x ^{3}+3x ^{2}-1\]Now, all we have to do is combine like terms to add these polynomials\[(8x ^{2}-1+2x ^{3})+(-7x ^{3}+3x ^{2}-1)=-5x ^{3}+11x^{2}-2\]Make sure you order the terms with exponents from the greatest to least exponent. The answer would be A.