सोडोवचें (log4+2)^2-(log4+4)*log4=

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

मूल्यांकन करचें

$$4$$

सोडोवणी पांवडे

बायनोमियल प्रमेयाचो वापर करून \left(a+b\right)^{2}=a^{2}+2ab+b^{2} विस्तारावचें \left(\log_{10}\left(4\right)+2\right)^{2}.

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

\log_{10}\left(4\right) न \log_{10}\left(4\right)+4 गुणपाक विभाजक विशमाचो वापर करचो.

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

\left(\log_{10}\left(4\right)\right)^{2}+4\log_{10}\left(4\right) चो विरोधी सोदूंक, दरेक सज्ञेचो विरोधी सोदचो.

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

0 मेळोवंक \left(\log_{10}\left(4\right)\right)^{2} आनी -\left(\log_{10}\left(4\right)\right)^{2} एकठांय करचें.

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

0 मेळोवंक 4\log_{10}\left(4\right) आनी -4\log_{10}\left(4\right) एकठांय करचें.

$$4$$

गुणकपद

$$2^{2}$$