মূল্যায়ন
\frac{2x\left(x^{2}-x-1\right)}{\left(x-2\right)\left(x^{2}-1\right)}
বিস্তাৰ
\frac{2\left(x^{3}-x^{2}-x\right)}{\left(x-2\right)\left(x^{2}-1\right)}
গ্ৰাফ
ভাগ-বতৰা কৰক
ক্লিপবোৰ্ডলৈ প্ৰতিলিপি হৈছে
\frac{x^{2}+1}{x^{2}-1}+\frac{\left(x+2\right)\left(x-1\right)}{\left(x-2\right)\left(x+1\right)}
নিউমাৰেটৰ সময়ক নিউমাৰেটৰৰে আৰু ডেনোমিনেটৰ সময়ক ডেনোমিনেটেৰে পূৰণ কৰি \frac{x+2}{x-2} বাৰ \frac{x-1}{x+1} পূৰণ কৰক৷
\frac{x^{2}+1}{\left(x-1\right)\left(x+1\right)}+\frac{\left(x+2\right)\left(x-1\right)}{\left(x-2\right)\left(x+1\right)}
উৎপাদক x^{2}-1৷
\frac{\left(x^{2}+1\right)\left(x-2\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}+\frac{\left(x+2\right)\left(x-1\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}
এক্সপ্ৰেশ্বন যোগ বা বিয়োগ কৰিবলৈ, সিহঁতৰ হৰ একে কৰিবলৈ বিস্তাৰ কৰক৷ \left(x-1\right)\left(x+1\right) আৰু \left(x-2\right)\left(x+1\right)ৰ সাধাৰণ গুণফল হৈছে \left(x-2\right)\left(x-1\right)\left(x+1\right)৷ \frac{x^{2}+1}{\left(x-1\right)\left(x+1\right)} বাৰ \frac{x-2}{x-2} পুৰণ কৰক৷ \frac{\left(x+2\right)\left(x-1\right)}{\left(x-2\right)\left(x+1\right)} বাৰ \frac{x-1}{x-1} পুৰণ কৰক৷
\frac{\left(x^{2}+1\right)\left(x-2\right)+\left(x+2\right)\left(x-1\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}
যিহেতু \frac{\left(x^{2}+1\right)\left(x-2\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)} আৰু \frac{\left(x+2\right)\left(x-1\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}ৰ একে ডেনোমিনেটৰ আছে, গতিকে সিহঁতক সিহঁতৰ নিউমেৰেটৰ যোগ কৰি যোগ কৰক৷
\frac{x^{3}-2x^{2}+x-2+x^{3}-2x^{2}+x+2x^{2}-4x+2}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}
\left(x^{2}+1\right)\left(x-2\right)+\left(x+2\right)\left(x-1\right)\left(x-1\right)ত গুণনিয়ক কৰক৷
\frac{2x^{3}-2x^{2}-2x}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}
x^{3}-2x^{2}+x-2+x^{3}-2x^{2}+x+2x^{2}-4x+2ৰ একেধৰণ পদবোৰ একত্ৰিত কৰক৷
\frac{2x^{3}-2x^{2}-2x}{x^{3}-2x^{2}-x+2}
\left(x-2\right)\left(x-1\right)\left(x+1\right) বিস্তাৰ কৰক৷
\frac{x^{2}+1}{x^{2}-1}+\frac{\left(x+2\right)\left(x-1\right)}{\left(x-2\right)\left(x+1\right)}
নিউমাৰেটৰ সময়ক নিউমাৰেটৰৰে আৰু ডেনোমিনেটৰ সময়ক ডেনোমিনেটেৰে পূৰণ কৰি \frac{x+2}{x-2} বাৰ \frac{x-1}{x+1} পূৰণ কৰক৷
\frac{x^{2}+1}{\left(x-1\right)\left(x+1\right)}+\frac{\left(x+2\right)\left(x-1\right)}{\left(x-2\right)\left(x+1\right)}
উৎপাদক x^{2}-1৷
\frac{\left(x^{2}+1\right)\left(x-2\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}+\frac{\left(x+2\right)\left(x-1\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}
এক্সপ্ৰেশ্বন যোগ বা বিয়োগ কৰিবলৈ, সিহঁতৰ হৰ একে কৰিবলৈ বিস্তাৰ কৰক৷ \left(x-1\right)\left(x+1\right) আৰু \left(x-2\right)\left(x+1\right)ৰ সাধাৰণ গুণফল হৈছে \left(x-2\right)\left(x-1\right)\left(x+1\right)৷ \frac{x^{2}+1}{\left(x-1\right)\left(x+1\right)} বাৰ \frac{x-2}{x-2} পুৰণ কৰক৷ \frac{\left(x+2\right)\left(x-1\right)}{\left(x-2\right)\left(x+1\right)} বাৰ \frac{x-1}{x-1} পুৰণ কৰক৷
\frac{\left(x^{2}+1\right)\left(x-2\right)+\left(x+2\right)\left(x-1\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}
যিহেতু \frac{\left(x^{2}+1\right)\left(x-2\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)} আৰু \frac{\left(x+2\right)\left(x-1\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}ৰ একে ডেনোমিনেটৰ আছে, গতিকে সিহঁতক সিহঁতৰ নিউমেৰেটৰ যোগ কৰি যোগ কৰক৷
\frac{x^{3}-2x^{2}+x-2+x^{3}-2x^{2}+x+2x^{2}-4x+2}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}
\left(x^{2}+1\right)\left(x-2\right)+\left(x+2\right)\left(x-1\right)\left(x-1\right)ত গুণনিয়ক কৰক৷
\frac{2x^{3}-2x^{2}-2x}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}
x^{3}-2x^{2}+x-2+x^{3}-2x^{2}+x+2x^{2}-4x+2ৰ একেধৰণ পদবোৰ একত্ৰিত কৰক৷
\frac{2x^{3}-2x^{2}-2x}{x^{3}-2x^{2}-x+2}
\left(x-2\right)\left(x-1\right)\left(x+1\right) বিস্তাৰ 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}