(a+b)^2=(a+b)*(a+b) eching

$$( a + b ) ^ { 2 } = ( a + b ) \cdot ( a + b )$$

a uchun yechish

$$a\in \mathrm{R}$$

Yechim qadamlari

\left(a+b\right)^{2} hosil qilish uchun a+b va a+b ni ko'paytirish.

$$\left(a+b\right)^{2}=\left(a+b\right)^{2}$$

\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(a+b\right)^{2} kengaytirilishi uchun ishlating.

$$a^{2}+2ab+b^{2}=\left(a+b\right)^{2}$$

\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(a+b\right)^{2} kengaytirilishi uchun ishlating.

$$a^{2}+2ab+b^{2}=a^{2}+2ab+b^{2}$$

Ikkala tarafdan a^{2} ni ayirish.

$$a^{2}+2ab+b^{2}-a^{2}=2ab+b^{2}$$

0 ni olish uchun a^{2} va -a^{2} ni birlashtirish.

$$2ab+b^{2}=2ab+b^{2}$$

Ikkala tarafdan 2ab ni ayirish.

$$2ab+b^{2}-2ab=b^{2}$$

0 ni olish uchun 2ab va -2ab ni birlashtirish.

$$b^{2}=b^{2}$$

Shartlarni qayta saralash.

$$\text{true}$$

Bu har qanday a uchun to‘g‘ri.

$$a\in \mathrm{R}$$

b uchun yechish

$$b\in \mathrm{R}$$

Yechim qadamlari

\left(a+b\right)^{2} hosil qilish uchun a+b va a+b ni ko'paytirish.

$$\left(a+b\right)^{2}=\left(a+b\right)^{2}$$

\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(a+b\right)^{2} kengaytirilishi uchun ishlating.

$$a^{2}+2ab+b^{2}=\left(a+b\right)^{2}$$

\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(a+b\right)^{2} kengaytirilishi uchun ishlating.

$$a^{2}+2ab+b^{2}=a^{2}+2ab+b^{2}$$

Ikkala tarafdan 2ab ni ayirish.

$$a^{2}+2ab+b^{2}-2ab=a^{2}+b^{2}$$

0 ni olish uchun 2ab va -2ab ni birlashtirish.

$$a^{2}+b^{2}=a^{2}+b^{2}$$

Ikkala tarafdan b^{2} ni ayirish.

$$a^{2}+b^{2}-b^{2}=a^{2}$$

0 ni olish uchun b^{2} va -b^{2} ni birlashtirish.

$$a^{2}=a^{2}$$

Shartlarni qayta saralash.

$$\text{true}$$

Bu har qanday b uchun to‘g‘ri.

$$b\in \mathrm{R}$$