[(3y-5y)^{2}*(2x^2y^3)]:(1/2xy^2)^2-[20y-(-8y)] eching

$$[ ( 3 y - 5 y ) ^ { 2 } * ( 2 x ^ { 2 } y ^ { 3 } ) ] : ( \frac { 1 } { 2 } x y ^ { 2 } ) ^ { 2 } - [ 20 y - ( - 8 y ) ]$$

Baholash

$$4y$$

Yechim qadamlari

-2y ni olish uchun 3y va -5y ni birlashtirish.

$$\frac{\left(-2y\right)^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

\left(-2y\right)^{2} ni kengaytirish.

$$\frac{\left(-2\right)^{2}y^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

2 daraja ko‘rsatkichini -2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{4y^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$\frac{8y^{2}x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 3 ni qo‘shib, 5 ni oling.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

\left(\frac{1}{2}xy^{2}\right)^{2} ni kengaytirish.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}\right)^{2}x^{2}\left(y^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}\right)^{2}x^{2}y^{4}}-\left(20y-\left(-8y\right)\right)$$

2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{8y^{5}x^{2}}{\frac{1}{4}x^{2}y^{4}}-\left(20y-\left(-8y\right)\right)$$

Surat va maxrajdagi ikkala x^{2}y^{4} ni qisqartiring.

$$\frac{8y}{\frac{1}{4}}-\left(20y-\left(-8y\right)\right)$$

8y ni \frac{1}{4} ga bo'lish 8y ga k'paytirish \frac{1}{4} ga qaytarish.

$$8y\times 4-\left(20y-\left(-8y\right)\right)$$

-8y ning teskarisi 8y ga teng.

$$8y\times 4-\left(20y+8y\right)$$

28y ni olish uchun 20y va 8y ni birlashtirish.

$$8y\times 4-28y$$

32 hosil qilish uchun 8 va 4 ni ko'paytirish.

$$32y-28y$$

4y ni olish uchun 32y va -28y ni birlashtirish.

$$4y$$

Kengaytirish

$$4y$$

Yechim qadamlari

-2y ni olish uchun 3y va -5y ni birlashtirish.

$$\frac{\left(-2y\right)^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

\left(-2y\right)^{2} ni kengaytirish.

$$\frac{\left(-2\right)^{2}y^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

2 daraja ko‘rsatkichini -2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{4y^{2}\times 2x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$\frac{8y^{2}x^{2}y^{3}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 3 ni qo‘shib, 5 ni oling.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}xy^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

\left(\frac{1}{2}xy^{2}\right)^{2} ni kengaytirish.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}\right)^{2}x^{2}\left(y^{2}\right)^{2}}-\left(20y-\left(-8y\right)\right)$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$\frac{8y^{5}x^{2}}{\left(\frac{1}{2}\right)^{2}x^{2}y^{4}}-\left(20y-\left(-8y\right)\right)$$

2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{8y^{5}x^{2}}{\frac{1}{4}x^{2}y^{4}}-\left(20y-\left(-8y\right)\right)$$

Surat va maxrajdagi ikkala x^{2}y^{4} ni qisqartiring.

$$\frac{8y}{\frac{1}{4}}-\left(20y-\left(-8y\right)\right)$$

8y ni \frac{1}{4} ga bo'lish 8y ga k'paytirish \frac{1}{4} ga qaytarish.

$$8y\times 4-\left(20y-\left(-8y\right)\right)$$

-8y ning teskarisi 8y ga teng.

$$8y\times 4-\left(20y+8y\right)$$

28y ni olish uchun 20y va 8y ni birlashtirish.

$$8y\times 4-28y$$

32 hosil qilish uchun 8 va 4 ni ko'paytirish.

$$32y-28y$$

4y ni olish uchun 32y va -28y ni birlashtirish.

$$4y$$