m+n/2mm-n/5m^3n1/10n^2= eching

$$\frac { m + n } { 2 m } \frac { m - n } { 5 m ^ { 3 } n } \frac { 1 } { 10 n ^ { 2 } } =$$

Baholash

$$\frac{m^{2}-n^{2}}{100n^{3}m^{4}}$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{m+n}{2m} ni \frac{m-n}{5m^{3}n} ga ko‘paytiring.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m\times 5m^{3}n}\times \frac{1}{10n^{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(m+n\right)\left(m-n\right)}{2m\times 5m^{3}n} ni \frac{1}{10n^{2}} ga ko‘paytiring.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m\times 5m^{3}n\times 10n^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m^{4}\times 5n\times 10n^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m^{4}\times 5n^{3}\times 10}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{\left(m+n\right)\left(m-n\right)}{10m^{4}n^{3}\times 10}$$

100 hosil qilish uchun 10 va 10 ni ko'paytirish.

$$\frac{\left(m+n\right)\left(m-n\right)}{100m^{4}n^{3}}$$

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

$$\frac{m^{2}-n^{2}}{100m^{4}n^{3}}$$

Kengaytirish

$$-\frac{n^{2}-m^{2}}{100n^{3}m^{4}}$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{m+n}{2m} ni \frac{m-n}{5m^{3}n} ga ko‘paytiring.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m\times 5m^{3}n}\times \frac{1}{10n^{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(m+n\right)\left(m-n\right)}{2m\times 5m^{3}n} ni \frac{1}{10n^{2}} ga ko‘paytiring.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m\times 5m^{3}n\times 10n^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m^{4}\times 5n\times 10n^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.

$$\frac{\left(m+n\right)\left(m-n\right)}{2m^{4}\times 5n^{3}\times 10}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{\left(m+n\right)\left(m-n\right)}{10m^{4}n^{3}\times 10}$$

100 hosil qilish uchun 10 va 10 ni ko'paytirish.

$$\frac{\left(m+n\right)\left(m-n\right)}{100m^{4}n^{3}}$$

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

$$\frac{m^{2}-n^{2}}{100m^{4}n^{3}}$$