(m+n-9)(m+n+9) eching

$$( m + n - 9 ) ( m + n + 9 )$$

Baholash

$$\left(m+n\right)^{2}-81$$

Yechim qadamlari

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}, bu yerda a=m+n va b=9.

$$\left(m+n\right)^{2}-9^{2}$$

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

$$m^{2}+2mn+n^{2}-9^{2}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$m^{2}+2mn+n^{2}-81$$

Kengaytirish

$$m^{2}+2mn+n^{2}-81$$

Yechim qadamlari

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}, bu yerda a=m+n va b=9.

$$\left(m+n\right)^{2}-9^{2}$$

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

$$m^{2}+2mn+n^{2}-9^{2}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$m^{2}+2mn+n^{2}-81$$