# Subtract the polynomials using the horizontal format. 2a^2 - 6a - 4 from -4a^2 + 6a + 10

Subtract the polynomials using the horizontal format. $$\displaystyle{2}{a}^{{2}}-{6}{a}-{4}$$ from $$\displaystyle-{4}{a}^{{2}}+{6}{a}+{10}$$

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averes8
We have to subtract: $$\displaystyle{\left(-{4}{a}^{{2}}+{6}{a}+{10}\right)}-{\left({2}{a}^{{2}}-{6}{a}-{4}\right)}$$
The subtraction for the polynomials can be given as:
$$\displaystyle{\left(-{4}{a}^{{2}}+{6}{a}+{10}\right)}-{\left({2}{a}^{{2}}-{6}{a}-{4}\right)}$$
$$\displaystyle={\left(-{4}{a}^{{2}}-{2}{a}^{{2}}\right)}+{\left({6}{a}+{6}{a}\right)}+{\left({10}+{4}\right)}$$
$$\displaystyle=-{6}{a}^{{2}}+{12}{a}+{14}$$
which is the required solution