# Add the given polynomials. 6x^2+8x+4 and -7x^2-7x-10

$$\displaystyle{6}{x}^{{2}}+{8}{x}+{4}$$ and $$\displaystyle-{7}{x}^{{2}}-{7}{x}-{10}$$

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Asma Vang
We have to add the given polynomials:
$$\displaystyle{6}{x}^{{2}}+{8}{x}+{4}$$ and $$\displaystyle-{7}{x}^{{2}}-{7}{x}-{10}$$
$$\displaystyle{\left({6}{x}^{{2}}+{8}{x}+{4}\right)}+{\left(-{7}{x}^{{2}}-{7}{x}-{10}\right)}$$
Removing the parentheses, we get
$$\displaystyle{\left({6}{x}^{{2}}+{8}{x}+{4}\right)}+{\left(-{7}{x}^{{2}}-{7}{x}-{10}\right)}={6}{x}^{{2}}+{8}{x}+{4}-{7}{x}^{{2}}-{7}{x}-{10}$$
Simplifying further by combining similar terms, we get
$$\displaystyle{6}{x}^{{2}}+{8}{x}+{4}-{7}{x}^{{2}}-{10}={6}{x}^{{2}}-{7}{x}^{{2}}+{8}{x}-{7}{x}+{4}-{10}$$
$$\displaystyle=-{x}^{{2}}+{x}-{6}$$
Hence, required answer is $$\displaystyle-{x}^{{2}}+{x}-{6}$$