Subtract the polynomials:(x^3-x^2-2x)-(-11x^4-9x-6)

Dottie Parra 2021-09-07 Answered
Subtract the polynomials:
\(\displaystyle{\left({x}^{{3}}-{x}^{{2}}-{2}{x}\right)}-{\left(-{11}{x}^{{4}}-{9}{x}-{6}\right)}\)

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Expert Answer

funblogC
Answered 2021-09-08 Author has 14694 answers
Given Expression to simplify is
\(\displaystyle{\left({x}^{{3}}-{x}^{{2}}-{2}{x}\right)}-{\left(-{11}{x}^{{4}}-{9}{x}-{6}\right)}\)
We need to subtrax the polynomials.
Formula used:
\(\displaystyle-{\left(-{a}\right)}={a}\)
On simplifying using the expansion of brackets,
\(\displaystyle{x}^{{3}}-{x}^{{2}}-{2}{x}+{11}{x}^{{4}}+{9}{x}+{6}\)
\(\displaystyle\Rightarrow{11}{x}^{{4}}+{x}^{{3}}-{x}^{{2}}-{2}{x}+{9}{x}+{6}\)
\(\displaystyle{11}{x}^{{4}}+{x}^{{3}}-{x}^{{2}}+{7}{x}+{6}\)
The above expression is the answer we get after subtraction.
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