Rešite (log4+2)^2-(log4+4)*log4=

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

Ovrednoti

$$4$$

Koraki rešitve

Uporabite binomski izrek \left(a+b\right)^{2}=a^{2}+2ab+b^{2}, da razširite \left(\log_{10}\left(4\right)+2\right)^{2}.

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

Uporabite distributivnost, da pomnožite \log_{10}\left(4\right)+4 s/z \log_{10}\left(4\right).

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

Če želite poiskati nasprotno vrednost za \left(\log_{10}\left(4\right)\right)^{2}+4\log_{10}\left(4\right), poiščite nasprotno vrednost vsakega izraza.

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

Združite \left(\log_{10}\left(4\right)\right)^{2} in -\left(\log_{10}\left(4\right)\right)^{2}, da dobite 0.

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

Združite 4\log_{10}\left(4\right) in -4\log_{10}\left(4\right), da dobite 0.

$$4$$

Faktoriziraj

$$2^{2}$$