Subtract the polynomials (10x^3-5x^2+3x-4)-(6x^3+4x^2-3x-1)

Maiclubk 2021-09-04 Answered
Subtract the polynomials \(\displaystyle{\left({10}{x}^{{3}}-{5}{x}^{{2}}+{3}{x}-{4}\right)}-{\left({6}{x}^{{3}}+{4}{x}^{{2}}-{3}{x}-{1}\right)}\)

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Expert Answer

timbalemX
Answered 2021-09-05 Author has 10810 answers
We have to subtract the following
Subtract the polynomials \(\displaystyle{\left({10}{x}^{{3}}-{5}{x}^{{2}}+{3}{x}-{4}\right)}-{\left({6}{x}^{{3}}+{4}{x}^{{2}}-{3}{x}-{1}\right)}\)
Solution: \(\displaystyle{\left({10}{x}^{{3}}-{5}{x}^{{2}}+{3}{x}-{4}\right)}-{\left({6}{x}^{{3}}+{4}{x}^{{2}}-{3}{x}-{1}\right)}\)
\(\displaystyle={10}{x}^{{3}}-{5}{x}^{{2}}+{3}{x}-{4}-{6}{x}^{{3}}-{4}{x}^{{2}}+{3}{x}+{1}\)
\(\displaystyle={4}{x}^{{3}}-{9}{x}^{{2}}+{6}{x}-{3}\)
Hence, \(\displaystyle{\left({10}{x}^{{3}}-{5}{x}^{{2}}+{3}{x}-{4}\right)}-{\left({6}{x}^{{3}}+{4}{x}^{{2}}-{3}{x}-{1}\right)}={4}{x}^{{3}}-{9}{x}^{{2}}+{6}{x}-{3}\)
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