মূল্যায়ন
-\frac{x^{3}+x^{2}+x+1}{x^{2}+2x-1}
বিস্তাৰ
-\frac{x^{3}+x^{2}+x+1}{x^{2}+2x-1}
গ্ৰাফ
ভাগ-বতৰা কৰক
ক্লিপবোৰ্ডলৈ প্ৰতিলিপি হৈছে
\frac{x^{2}-2x-1}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}-x
উৎপাদক x^{2}+2x-1৷
\frac{x^{2}-2x-1}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}-\frac{x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
এক্সপ্ৰেশ্বন যোগ বা বিয়োগ কৰিবলৈ, সিহঁতৰ হৰ একে কৰিবলৈ বিস্তাৰ কৰক৷ x বাৰ \frac{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)} পুৰণ কৰক৷
\frac{x^{2}-2x-1-x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
যিহেতু \frac{x^{2}-2x-1}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)} আৰু \frac{x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}ৰ একে ডেনোমিনেটৰ আছে, গতিকে সিহঁতক সিহঁতৰ নিউমেৰেটৰ বিয়োগ কৰি বিয়োগ কৰক৷
\frac{x^{2}-2x-1-x^{3}-x^{2}\sqrt{2}-x^{2}-x^{2}+x^{2}\sqrt{2}+x}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
x^{2}-2x-1-x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)ত গুণনিয়ক কৰক৷
\frac{-x^{2}-x-1-x^{3}}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
x^{2}-2x-1-x^{3}-x^{2}\sqrt{2}-x^{2}-x^{2}+x^{2}\sqrt{2}+xৰ একেধৰণ পদবোৰ একত্ৰিত কৰক৷
\frac{-x^{2}-x-1-x^{3}}{x^{2}+2x-\left(\sqrt{2}\right)^{2}+1}
\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right) বিস্তাৰ কৰক৷
\frac{-x^{2}-x-1-x^{3}}{x^{2}+2x-2+1}
\sqrt{2}ৰ বৰ্গমূল হৈছে 2৷
\frac{-x^{2}-x-1-x^{3}}{x^{2}+2x-1}
-1 লাভ কৰিবৰ বাবে -2 আৰু 1 যোগ কৰক৷
\frac{x^{2}-2x-1}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}-x
উৎপাদক x^{2}+2x-1৷
\frac{x^{2}-2x-1}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}-\frac{x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
এক্সপ্ৰেশ্বন যোগ বা বিয়োগ কৰিবলৈ, সিহঁতৰ হৰ একে কৰিবলৈ বিস্তাৰ কৰক৷ x বাৰ \frac{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)} পুৰণ কৰক৷
\frac{x^{2}-2x-1-x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
যিহেতু \frac{x^{2}-2x-1}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)} আৰু \frac{x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}ৰ একে ডেনোমিনেটৰ আছে, গতিকে সিহঁতক সিহঁতৰ নিউমেৰেটৰ বিয়োগ কৰি বিয়োগ কৰক৷
\frac{x^{2}-2x-1-x^{3}-x^{2}\sqrt{2}-x^{2}-x^{2}+x^{2}\sqrt{2}+x}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
x^{2}-2x-1-x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)ত গুণনিয়ক কৰক৷
\frac{-x^{2}-x-1-x^{3}}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
x^{2}-2x-1-x^{3}-x^{2}\sqrt{2}-x^{2}-x^{2}+x^{2}\sqrt{2}+xৰ একেধৰণ পদবোৰ একত্ৰিত কৰক৷
\frac{-x^{2}-x-1-x^{3}}{x^{2}+2x-\left(\sqrt{2}\right)^{2}+1}
\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right) বিস্তাৰ কৰক৷
\frac{-x^{2}-x-1-x^{3}}{x^{2}+2x-2+1}
\sqrt{2}ৰ বৰ্গমূল হৈছে 2৷
\frac{-x^{2}-x-1-x^{3}}{x^{2}+2x-1}
-1 লাভ কৰিবৰ বাবে -2 আৰু 1 যোগ কৰক৷
উদাহৰণসমূহ
দ্বিঘাত সমীকৰণ
{ x } ^ { 2 } - 4 x - 5 = 0
ত্ৰিকোণমিতি
4 \sin \theta \cos \theta = 2 \sin \theta
ৰৈখিক সমীকৰণ
y = 3x + 4
অঙ্ক
699 * 533
মেট্ৰিক্স
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
সমকালীন সমীকৰণ
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
পৃথকীকৰণ
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
ইণ্টিগ্ৰেশ্বন
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
সীমা
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}