(log4+2)^2-(log4+4)*log4= eching

$$( \log 4 + 2 ) ^ { 2 } - ( \log 4 + 4 ) \cdot \log 4 =$$

Baholash

$$4$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(\log_{10}\left(4\right)+2\right)^{2} kengaytirilishi uchun ishlating.

$$\left(\log_{10}\left(4\right)\right)^{2}+4\log_{10}\left(4\right)+4-\left(\log_{10}\left(4\right)+4\right)\log_{10}\left(4\right)$$

\log_{10}\left(4\right)+4 ga \log_{10}\left(4\right) ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(\log_{10}\left(4\right)\right)^{2}+4\log_{10}\left(4\right)+4-\left(\left(\log_{10}\left(4\right)\right)^{2}+4\log_{10}\left(4\right)\right)$$

\left(\log_{10}\left(4\right)\right)^{2}+4\log_{10}\left(4\right) teskarisini topish uchun har birining teskarisini toping.

$$\left(\log_{10}\left(4\right)\right)^{2}+4\log_{10}\left(4\right)+4-\left(\log_{10}\left(4\right)\right)^{2}-4\log_{10}\left(4\right)$$

0 ni olish uchun \left(\log_{10}\left(4\right)\right)^{2} va -\left(\log_{10}\left(4\right)\right)^{2} ni birlashtirish.

$$4\log_{10}\left(4\right)+4-4\log_{10}\left(4\right)$$

0 ni olish uchun 4\log_{10}\left(4\right) va -4\log_{10}\left(4\right) ni birlashtirish.

$$4$$

Omil

$$2^{2}$$