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

smileycellist2 2021-08-31 Answered
Subtract the polynomials using the horizontal format. \(\displaystyle{5}{x}-{2}\) from \(\displaystyle{3}{x}+{4}\)

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Expert Answer

estenutC
Answered 2021-09-01 Author has 11331 answers

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 \(−2x+6\).

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