1.4-bo'lim : ko'phadlar
10. Ko'rsatilgan operatsiyani bajaring va natija darajasini aniqlang.
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.