(5m-m)^2-(m+n)^2 eching

$$( 5 m - m ) ^ { 2 } - ( m + n ) ^ { 2 }$$

Baholash

$$\left(3m-n\right)\left(5m+n\right)$$

Yechim qadamlari

4m ni olish uchun 5m va -m ni birlashtirish.

$$\left(4m\right)^{2}-\left(m+n\right)^{2}$$

\left(4m\right)^{2} ni kengaytirish.

$$4^{2}m^{2}-\left(m+n\right)^{2}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$16m^{2}-\left(m+n\right)^{2}$$

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(m+n\right)^{2} kengaytirilishi uchun ishlating.

$$16m^{2}-\left(m^{2}+2mn+n^{2}\right)$$

m^{2}+2mn+n^{2} teskarisini topish uchun har birining teskarisini toping.

$$16m^{2}-m^{2}-2mn-n^{2}$$

15m^{2} ni olish uchun 16m^{2} va -m^{2} ni birlashtirish.

$$15m^{2}-2mn-n^{2}$$

Kengaytirish

$$15m^{2}-2mn-n^{2}$$

Yechim qadamlari

4m ni olish uchun 5m va -m ni birlashtirish.

$$\left(4m\right)^{2}-\left(m+n\right)^{2}$$

\left(4m\right)^{2} ni kengaytirish.

$$4^{2}m^{2}-\left(m+n\right)^{2}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$16m^{2}-\left(m+n\right)^{2}$$

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(m+n\right)^{2} kengaytirilishi uchun ishlating.

$$16m^{2}-\left(m^{2}+2mn+n^{2}\right)$$

m^{2}+2mn+n^{2} teskarisini topish uchun har birining teskarisini toping.

$$16m^{2}-m^{2}-2mn-n^{2}$$

15m^{2} ni olish uchun 16m^{2} va -m^{2} ni birlashtirish.

$$15m^{2}-2mn-n^{2}$$