# Find the difference of the polynomials. (3x^2+2x-1)-(-5x^2+8x+4)

Find the difference of the polynomials.
$$\displaystyle{\left({3}{x}^{{2}}+{2}{x}-{1}\right)}-{\left(-{5}{x}^{{2}}+{8}{x}+{4}\right)}$$

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coffentw
Consider the following expression:
$$\displaystyle{\left({3}{x}^{{2}}+{2}{x}-{1}\right)}-{\left(-{5}{x}^{{2}}+{8}{x}+{4}\right)}$$
$$\displaystyle={\left({3}{x}^{{2}}+{2}{x}-{1}\right)}+{\left({5}{x}^{{2}}-{8}{x}-{4}\right)}$$
$$\displaystyle={3}{x}^{{2}}+{5}{x}^{{2}}+{2}{x}-{8}{x}-{1}-{4}$$
$$\displaystyle={\left({3}+{5}\right)}{x}^{{2}}+{\left({2}-{8}\right)}{x}-{5}$$
$$\displaystyle={8}{x}^{{2}}-{6}{x}-{5}$$
Hence, the solution is $$\displaystyle{8}{x}^{{2}}-{6}{x}-{5}$$