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

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

Evalwa

$$4$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(\log_{10}\left(4\right)+2\right)^{2}.

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

Uża l-propjetà distributtiva biex timmultiplika \log_{10}\left(4\right)+4 b'\log_{10}\left(4\right).

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

Biex issib l-oppost ta' \left(\log_{10}\left(4\right)\right)^{2}+4\log_{10}\left(4\right), sib l-oppost ta' kull terminu.

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

Ikkombina \left(\log_{10}\left(4\right)\right)^{2} u -\left(\log_{10}\left(4\right)\right)^{2} biex tikseb 0.

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

Ikkombina 4\log_{10}\left(4\right) u -4\log_{10}\left(4\right) biex tikseb 0.

$$4$$

Fattur

$$2^{2}$$