\({\largeа)}\ 4a^2b+5b^2a+baa+3aba=\) \(4a^2b\) \(+\ 5ab^2\ +\) \(a^2b\) \(+\) \(3a^2b\) \(=(4+1+3)a^2b+5ab^2=8a^2b+5ab^2\)
\(\phantom{\largeа)}\) Степень многочлена равна \(3.\)
\({\largeб)}\ 5a^3\ -\) \(7ax^3\) \(-\) \(2ax^3\) \(-\ a^3x\ -\) \(ax^3\) \(=5a^3+(-7-2-1)ax^3-a^3x=5a^3-10ax^3-a^3x\)
\(\phantom{\largeб)}\) Степень многочлена равна \(4.\)
\({\largeв)}\ 3ax^2\ -\) \(3a^2x\) \(+\) \(2a^2x^2\) \(-\) \(7a^2x^2\) \(-\) \(a^2x\) \(=3ax^2+(-3-1)a^2x+(2-7)a^2x^2=3ax^2-4a^2x-5a^2x^2\)
\(\phantom{\largeв)}\) Степень многочлена равна \(4.\)
\({\largeг)}\ 6n^3-8p^2n^3+p^2n^3+12n^3p^2+2n^3=\) \(6n^3\) \(-\) \(8n^3p^2\) \(+\) \(n^3p^2\) \(+\) \(12n^3p^2\) \(+\) \(2n^3\) \(=(6+2)n^3+(-8+1+12)n^3p^2=8n^3+5n^3p^2\)
\(\phantom{\largeг)}\) Степень многочлена равна \(5.\)
\({\largeд)}\ 7a^3-8aba^2+3a^2-4b=7a^3-8a^3b+3a^2-4b\)
\(\phantom{\largeд)}\) Степень многочлена равна \(4.\)
\({\largeе)}\ x^5-7y^2+3xyx^4+2x-1=x^5-7y^2+3x^5y+2x-1\)
\(\phantom{\largeе)}\) Степень многочлена равна \(6.\)
\({\largeж)}\ ac+2abc-7a^2+3ca-3cab=\) \(ac\) \(+\) \(2abc\) \(-\ 7a^2\ +\) \(3ac\) \(-\) \(3abc\) \(=(1+3)ac+(2-3)abc-7a^2=4ac-abc-7a^2\)
\(\phantom{\largeж)}\) Степень многочлена равна \(3.\)
