Question

{√3(√2a-1/√2)}^2


very urgent answer fast pls ​

Answer 1

Question :

$\bf{\sqrt{3}\left(\sqrt{2}a-1/\sqrt{2}\right)^2}$

Answer :

$\bullet$ Solve $\bf{\left(\sqrt{2}a-\dfrac{1}{\sqrt{2}}\right)^2}$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2$

$a=\sqrt{2}a,\:\:b=\frac{1}{\sqrt{2}}$

$=\left(\sqrt{2}a\right)^2-2\sqrt{2}a\frac{1}{\sqrt{2}}+\left(\frac{1}{\sqrt{2}}\right)^2$

$\mathrm{Simplify}\:\left(\sqrt{2}a\right)^2-2\sqrt{2}a\frac{1}{\sqrt{2}}+\left(\frac{1}{\sqrt{2}}\right)^2:\quad 2a^2-2a+\frac{1}{2}$

$=2a^2-2a+\frac{1}{2}$

$=\sqrt{3}\left(2a^2-2a+\frac{1}{2}\right)$