Asosiy tarkibga o'tish

1.4-bo'lim : ko'phadlar

10. Ko'rsatilgan operatsiyani bajaring va natija darajasini aniqlang.

\(6{x^3} - 9{x^2} - 13x - 4\) dan \(3{\left( {{x^2} + 1} \right)^2}\) ni ayiring
Yechim

Mana bizdan bajarishimiz kerak bo'lgan operatsiya.

\[6{x^3} - 9{x^2} - 13x - 4 - 3{\left( {{x^2} + 1} \right)^2}\]

Endi ayirish amalini bajarishdan oldin, ayirishni amalga oshirishdan oldin ikkinchi hadni ko‘paytirishimiz kerak. Mana bu barcha operatsiyalarning natijalari.

\[\begin{align*}6{x^3} - 9{x^2} - 13x - 4 - 3{\left( {{x^2} + 1} \right)^2} & = 6{x^3} - 9{x^2} - 13x - 4 - 3\left( {{x^4} + 2{x^2} + 1} \right)\\ & = 6{x^3} - 9{x^2} - 13x - 4 - 3{x^4} - 6{x^2} - 3\\ & = \require{bbox} \bbox[2pt,border:1px solid black]{{ - 3{x^4} + 6{x^3} - 15{x^2} - 13x - 7}}\end{align*}\]
2-qadam

Esda tutingki, ko'phadning darajasi ko'phaddagi eng katta ko'rsatkichdir va shuning uchun bu operatsiya natijasining darajasi to'rtta.