a+b/6a-b/2aa^2+b^2/3b^2= eching

$$\frac { a + b } { 6 } \frac { a - b } { 2 a } \frac { a ^ { 2 } + b ^ { 2 } } { 3 b ^ { 2 } } =$$

Baholash

$$\frac{a^{4}-b^{4}}{36ab^{2}}$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{a+b}{6} ni \frac{a-b}{2a} ga ko‘paytiring.

$$\frac{\left(a+b\right)\left(a-b\right)}{6\times 2a}\times \frac{a^{2}+b^{2}}{3b^{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(a+b\right)\left(a-b\right)}{6\times 2a} ni \frac{a^{2}+b^{2}}{3b^{2}} ga ko‘paytiring.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a^{2}+b^{2}\right)}{6\times 2a\times 3b^{2}}$$

12 hosil qilish uchun 6 va 2 ni ko'paytirish.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a^{2}+b^{2}\right)}{12a\times 3b^{2}}$$

36 hosil qilish uchun 12 va 3 ni ko'paytirish.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a^{2}+b^{2}\right)}{36ab^{2}}$$

a+b ga a-b ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{\left(a^{2}-b^{2}\right)\left(a^{2}+b^{2}\right)}{36ab^{2}}$$

Hisoblang: \left(a^{2}-b^{2}\right)\left(a^{2}+b^{2}\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{\left(a^{2}\right)^{2}-\left(b^{2}\right)^{2}}{36ab^{2}}$$

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

$$\frac{a^{4}-\left(b^{2}\right)^{2}}{36ab^{2}}$$

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

$$\frac{a^{4}-b^{4}}{36ab^{2}}$$

Kengaytirish

$$-\frac{b^{4}-a^{4}}{36ab^{2}}$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{a+b}{6} ni \frac{a-b}{2a} ga ko‘paytiring.

$$\frac{\left(a+b\right)\left(a-b\right)}{6\times 2a}\times \frac{a^{2}+b^{2}}{3b^{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(a+b\right)\left(a-b\right)}{6\times 2a} ni \frac{a^{2}+b^{2}}{3b^{2}} ga ko‘paytiring.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a^{2}+b^{2}\right)}{6\times 2a\times 3b^{2}}$$

12 hosil qilish uchun 6 va 2 ni ko'paytirish.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a^{2}+b^{2}\right)}{12a\times 3b^{2}}$$

36 hosil qilish uchun 12 va 3 ni ko'paytirish.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a^{2}+b^{2}\right)}{36ab^{2}}$$

a+b ga a-b ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{\left(a^{2}-b^{2}\right)\left(a^{2}+b^{2}\right)}{36ab^{2}}$$

Hisoblang: \left(a^{2}-b^{2}\right)\left(a^{2}+b^{2}\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{\left(a^{2}\right)^{2}-\left(b^{2}\right)^{2}}{36ab^{2}}$$

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

$$\frac{a^{4}-\left(b^{2}\right)^{2}}{36ab^{2}}$$

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

$$\frac{a^{4}-b^{4}}{36ab^{2}}$$