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4x^{2}+\frac{4}{3}x+\frac{1}{9}-\left(x-\frac{1}{2}\right)^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(2x+\frac{1}{3}\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}+\frac{4}{3}x+\frac{1}{9}-\left(x^{2}-x+\frac{1}{4}\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-\frac{1}{2}\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}+\frac{4}{3}x+\frac{1}{9}-x^{2}+x-\frac{1}{4}
x^{2}-x+\frac{1}{4} teskarisini topish uchun har birining teskarisini toping.
3x^{2}+\frac{4}{3}x+\frac{1}{9}+x-\frac{1}{4}
3x^{2} ni olish uchun 4x^{2} va -x^{2} ni birlashtirish.
3x^{2}+\frac{7}{3}x+\frac{1}{9}-\frac{1}{4}
\frac{7}{3}x ni olish uchun \frac{4}{3}x va x ni birlashtirish.
3x^{2}+\frac{7}{3}x-\frac{5}{36}
-\frac{5}{36} olish uchun \frac{1}{9} dan \frac{1}{4} ni ayirish.
4x^{2}+\frac{4}{3}x+\frac{1}{9}-\left(x-\frac{1}{2}\right)^{2}
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(2x+\frac{1}{3}\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}+\frac{4}{3}x+\frac{1}{9}-\left(x^{2}-x+\frac{1}{4}\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-\frac{1}{2}\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}+\frac{4}{3}x+\frac{1}{9}-x^{2}+x-\frac{1}{4}
x^{2}-x+\frac{1}{4} teskarisini topish uchun har birining teskarisini toping.
3x^{2}+\frac{4}{3}x+\frac{1}{9}+x-\frac{1}{4}
3x^{2} ni olish uchun 4x^{2} va -x^{2} ni birlashtirish.
3x^{2}+\frac{7}{3}x+\frac{1}{9}-\frac{1}{4}
\frac{7}{3}x ni olish uchun \frac{4}{3}x va x ni birlashtirish.
3x^{2}+\frac{7}{3}x-\frac{5}{36}
-\frac{5}{36} olish uchun \frac{1}{9} dan \frac{1}{4} ni ayirish.