Question

simplify (c^3-8c+5c^2-3)-(3c^2-10c+5)

Answer 1

@iGreen

Answer 2

\(c^3 + 2c^2 + 2c - 8\)

Answer 3

When you subtract polynomials, you are essentially adding the opposite of the second polynomial to the first. To start this problem, you need to distribute the negative across the second polynomial\[3c^2(-1)-10c(-1)+5(-1)\]\[-3c^2+10c-5\]Then you just add this to the first polynomial by combining like terms\[(c^3-8c+5c^2-3)+(-3^2+10c-5)\]\[c^3+2c^2+2c-8\]This is our answer.