Subtract the polynomials using the horizontal format. 5x-2 from 3x+4

Subtract the polynomials using the horizontal format. $$\displaystyle{5}{x}-{2}$$ from $$\displaystyle{3}{x}+{4}$$

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The given polynomials are $$\displaystyle{5}{x}-{2}$$ and $$\displaystyle{3}{x}+{4}$$
We have to subtract the polynomials using the horizontal format.
Subtract $$\displaystyle{5}{x}-{2}$$ from $$\displaystyle{3}{x}+{4}$$
$$\displaystyle{\left({3}{x}+{4}\right)}-{\left({5}{x}-{2}\right)}={3}{x}+{4}-{\left({5}{x}\right)}-{\left(-{2}\right)}$$
$$\displaystyle={3}{x}+{4}-{5}{x}+{2}$$
$$\displaystyle={\left({3}{x}-{5}{x}\right)}+{\left({4}+{2}\right)}$$
$$\displaystyle={\left(-{2}{x}\right)}+{\left({6}\right)}$$
$$\displaystyle=-{2}{x}+{6}$$
Answer: After subtracting $$5x−2$$ from $$3x+4$$ the resultant polynomial is $$−2x+6$$.